Solve x^2 × x^5: Multiplying Exponential Expressions

x2×x5= x^2\times x^5=

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Step-by-step video solution

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00:00 Simplify the following problem
00:03 When multiplying powers with equal bases
00:06 The power of the result equals the sum of the powers
00:09 We'll apply this formula to our exercise and add the powers together

Step-by-step written solution

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1

Understand the problem

x2×x5= x^2\times x^5=

2

Step-by-step solution

Here we will have to to multiply terms with identical bases, therefore we use the appropriate power property:

bmbn=bm+n b^m\cdot b^n=b^{m+n} Note that this property can only be used to calculate the multiplication between terms with identical bases,

From now on we no longer write the multiplication sign, but use the accepted form of writing in which placing terms next to each other means multiplication.

We apply it in the problem:

x2x5=x2+5=x7 x^2x^5=x^{2+5}=x^7 Therefore, the correct answer is D.

3

Final Answer

x7 x^7

Practice Quiz

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\( 112^0=\text{?} \)

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