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Let's start by breaking it down;
The base is the standard whole number in which we are going to multiply to the X power. Here, the X: Xy.
The power, or exponent, often displayed in superscript (or small and to the top right of the base number, as displayed above), and occasionally using a caret: X^Y, or rarely as a double multiplication symbol X**Y.
Here's an example:
24 * 25
As we learned, the base here is 2, and the powers are 4 and 5.
When you are presented with an equation like this, the purpose is generally to not find out what all of that equals, but to combine the two sides into one, like algebra!
To do this, you could multiply it out and do it all the long way, but there's a trick! All you have to do is simply add the two exponents.
24 * 25 is the same as 24 + 5, which would equal 29.
What else can I help you with?
What is the rule for multiplying powers with the same base and dividing power with the same base?
When multiplying powers with the same base, you add the exponents: (a^m \times a^n = a^{m+n}). Conversely, when dividing powers with the same base, you subtract the exponents: (a^m \div a^n = a^{m-n}). This rule applies as long as the base (a) is not zero.
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.
Why add exponents when multiplying powers with same base?
When multiplying powers with the same base, you add the exponents due to the properties of exponents that define multiplication. This is based on the idea that multiplying the same base repeatedly involves combining the total number of times the base is used. For example, (a^m \times a^n = a^{m+n}) because you are effectively multiplying (a) by itself (m) times and then (n) times, resulting in a total of (m+n) multiplications of (a). This rule simplifies calculations and maintains consistency in mathematical operations involving exponents.
How do you multiplying power that have the same base?
To multiply powers with the same base, you simply add their exponents. For example, if you have ( a^m \times a^n ), the result is ( a^{m+n} ). This rule applies as long as the bases are identical.
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
What is the rule for multiplying powers with the same base and dividing power with the same base?
When multiplying powers with the same base, you add the exponents: (a^m \times a^n = a^{m+n}). Conversely, when dividing powers with the same base, you subtract the exponents: (a^m \div a^n = a^{m-n}). This rule applies as long as the base (a) is not zero.
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.
Why add exponents when multiplying powers with same base?
When multiplying powers with the same base, you add the exponents due to the properties of exponents that define multiplication. This is based on the idea that multiplying the same base repeatedly involves combining the total number of times the base is used. For example, (a^m \times a^n = a^{m+n}) because you are effectively multiplying (a) by itself (m) times and then (n) times, resulting in a total of (m+n) multiplications of (a). This rule simplifies calculations and maintains consistency in mathematical operations involving exponents.
What is a rule that works for multiplying powers of the same base in exponents?
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).
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
How do you multiplying power that have the same base?
To multiply powers with the same base, you simply add their exponents. For example, if you have ( a^m \times a^n ), the result is ( a^{m+n} ). This rule applies as long as the bases are identical.
What is products of powers?
What do you mean by product of powers?Is that what you mean?am * an = a(m+n).The above is only valid when the base (a) is same for both the expressions.
When multiplying with the same base you?
Add the indices
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
If you have 10 to the power of 6 and 10 to the power of 9 what is the product?
10 to the power of 15 when multiplying items with the same base (in this case 10) you simply add the powers
When multiplying variables with the same base what do you do with the exponents?
You add them.
