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To simplify, you write one copy of the base, then add the exponent. Example:x^5 times x^3 = x^8

In the case of positive integer exponents, this can easily be derived by writing each power as a repeated multiplication. However, this law is also valid for negative or fractional exponents.

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6y ago
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6y ago

You add the exponents together. Thus, xa * xb = x(a+b)

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Q: What do you do with the exponents when you multiply two of the same variables?
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Related questions

What happens when you multiply two variables with different exponents?

When you multiply two variables with different exponents, the exponents are added. For example, if you multiply x^2 by x^3, the result is x^(2+3) = x^5. Similarly, if you multiply x^3 by x^(-2), the result is x^(3+(-2)) = x^1 = x.


When you have two different exponents do you add them or multiply them?

Multiply


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.


How do you multiply two different number with two different exponents?

the answer is simple you can not


What does the product rule of exponents?

When a base is raised to a power inside a quantity , multiply the two exponents to solve.


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

The exponents are added.


What does the product rule of exponents say?

When a base is raised to a power inside a quantity , multiply the two exponents to solve.


What is the relationship between the exponents of the base and the exponent of the product?

when two numbers are multiplied together that are exponents you multiply the bases amd add the exponents the relationship would simply be that the product exponents are the sum of the exponents being multiplied in the question


How do you multiply exponets and fractions?

When you multiply fractions together, you multiply the numerators together to get the numerator of the answer and you multiply the denominators together to get the denominator of the answer. For example: 1/2 * 2/3 = (1*2)/(2*3) = 2/6 = 1/3. When multiplying exponents of the same base together, you simply add the two exponents and make that the exponent of the same base. For example: 22 * 23 = 25 = 32. Or for the algebra-savvy: x2 * x3 = x5.


What are three laws of exponents for multiplication?

I can think of two: - To multiply powers with the same base, add the exponents: (a^b)(a^c) = a^(b+c). - To find a power of a product, apply the exponent to each factor in the product: (ab)^c = (a^c)(b^c).


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 two numbers multiply to make 384?

As a product of its prime factors in exponents: 27*3 = 384