answersLogoWhite

0


Best Answer

To multiply powers with the same base, you add the exponents. For example, 10^2 x 10^3 = 10^5.

Similarly, to divide powers with the same base, you subtract the exponents. For example, 10^3 / 10^5 = 10^(-2).

User Avatar

Wiki User

โˆ™ 2015-03-24 23:43:38
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards

Multiplication chart! :)

12 cards

2x1

2x2

2x3

2x4

โžก๏ธ
See all cards

Math and Arithmetic

20 cards

The length of a rectangular floor is 2 feet more than its width The area of the floor is 168 square feet Kim wants to use a rug in the middle of the room and leave a 2 foot border of the floor visib

The perimeter of a rectangle is 18 feet and the area of the rectangle is 20 square feet what is the width of the rectangle

The sum of two numbers is 19 and their product is 78 What is the larger number

A rectangular garden has a perimeter of 48 cm and an area of 140 sq cm What is the width of this garden

โžก๏ธ
See all cards

Add your answer:

Earn +20 pts
Q: What is a rule that works for multiplying powers of the same base in exponents?
Write your answer...
Submit
Related questions

When multiplying number do you add the exponents?

If you are multiplying powers of the same base (like 24 times 211), yes, you add the exponents.


What you do with the exponents when you you are multiplying?

If you are multiplying numbers with exponents, and the base is the same, you can just add exponents. For example, 104 x 105 = 109.


When multiplying terms with the same base you do what to the exponents?

Sum the exponents.


What do you with two negative exponents when multiplying?

I presume you mean you are multiplying two powers of the same base, where both exponents are negative. Regardless of the signs of the exponents, you algebraically add the exponents. For example, 2-3 times 2-4 is 2-7; 35 times 3-8 is 3-3.


How do you simplify exponents or powers in algebra?

When multiplying exponents with the same base add them: x^3*x^2 = x^5 When dividing exponents with the same base subtract them: x^3/x^2 = x^1 or x


When multiplying variables with the same base what do you do with the exponents?

You add them.


When multiplying a number exponents that are squared do you add or multiply?

If the base numbers or variables are the same, you add the exponents.


What does it mean to multiply two powers having the same base and add the exponents?

This is one of the laws of exponents, which states that xa * xb = x(a+b) The base is x, and the two powers (or exponents) are a and b.


When do add exponents?

when you multiply powers with the same base.


What is the relation of the exponent rule and the power rule?

The exponent "product rule" tells us that, when multiplying two powers that The Product Rule is that when you have the same base, you can add the exponents.The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56.


Do you add exponents if they have the same base?

Yes but only if its multiplying, lets say its 4 to the 2nd power times 4 to the 3rd power that would be 4 to the 5th power because u keep the base and add the exponents


Numbers expressed using exponents?

Numbers expressed using exponents are called powers. When writing a number expressed as an exponent, the number is called the base.


Why don't we change the exponents during like terms?

Exponents are higher in priority in terms of the order of operations, and do not combine in the same way as you would simple add/subtract/multiply/divide. So, if you have: 26 + 24 This is a polynomial in base 2 with different powers. It would be this in binary: 1010000 ...which would not be the same as 210: 1000000000 In order to be able to change exponents, you have to be multiplying factors using the same base, as in: 26 * 24 = 210 ...because the exponents are also indicating how many times you are multiplying each base by itself, and multiplication is the same as the basal function of the exponent (repeated multiplication).


What is 10 to the fourth power multiplied by 10 to the seventh power?

10^4 * 10^7 = 10^11 When multiplying exponents with the same base (in this case, 10), you add the exponents (4+7). If you were dividing, you'd subtract the exponents.


What property can you use to multiply the expressions with exponents?

The Addition Property of Exponents. To multiply powers with the same base, add the exponents. e.g. 34 x 37 = 311, x2x3 = x5, and (3x2yz3)(2x5y2z) = 6x7y3z4.


What are numbers expressed using exponents called?

Numbers expressed using exponents are called powers. When writing a number expressed as an exponent, the number is called the base. For example, in 23 two is the base.


How do you multiplying exponents with the same base?

You add the exponents. Example: 102 x 103 = 105.You add the exponents. Example: 102 x 103 = 105.You add the exponents. Example: 102 x 103 = 105.You add the exponents. Example: 102 x 103 = 105.


When multiplying numbers with exponents do you add the exponents or multiply them?

If your multiplying two numbers with the same base you add the exponents. EX. 4^2 * 4^3 This means 4 to the 2nd power times 4 to the 3rd power. You just add the 2 and 3. Now it becomes: 4^5 Hope this helped!


What is x to the fifth power times x to the third power?

Use the properties of powers. In this case, you can combine powers with the same base, by simply adding the exponents.


What is a rule for multiplying powers with the same base?

Add the powers: eg 3 squared times 3 cubed = 3 to the fifth More generally, if b is the base (bx )(by )=bx+y


What is the product rule of exponents in Algebra?

The product rule says when multiplying two powers that have the same base, you can add the exponents. There are product rules used in calculus to find the product of derivatives, but that does not really have to do with exponents.The above answer translates to the following Algebra rule:xm * xn = xm+nHere is an example:x5 * x2 = x5+2 = x7


If two exponents have the same factor or base what happens to the exponents when the exponents are multipled?

The exponents are added.


Can divide powers with the same base by subtracting the exponents?

Yes, you can subtract the exponents, for example 5^3/5^2 = 5^3-2 = 5^1 Thats the same as 125/25 = 5


Is there a relationship between the exponents of the base and the exponent of the product?

When multiplying numbers with the same base and different or same exponents, the product is the base to the power of the sum of the exponents of the multiplicands. Examples: 52 x 57 x 510 = 519 n x n4 = n5 75 ÷ 72 = 75 x 7-2 = 73 22 x √2 = 22 x 20.5 = 22.5


An abacus works based on powers of what number?

The most commonly used base is 10,