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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.

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Q: What does multiplying powers with the same base mean?
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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 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


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.


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


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

Sum 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.


What is multiplying the base number by itself once or many times?

Same as multiplying any number by itself once or many times.