Calculate 7^9 × 7: Solving a Power Multiplication Problem

79×7= 7^9\times7=

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Step-by-step video solution

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00:00 Simplify the following problem
00:03 According to the laws of exponents, multiplying exponents with the same base (A)
00:07 equals the same base raised to the sum of the exponents (N+M)
00:11 We will apply this formula to our exercise
00:14 We will add up the exponents and raise to this power
00:17 This is the solution

Step-by-step written solution

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1

Understand the problem

79×7= 7^9\times7=

2

Step-by-step solution

According to the property of powers, when there are two powers with the same base multiplied together, the exponents should be added.

According to the formula:an×am=an+m a^n\times a^m=a^{n+m}

It is important to remember that a number without a power is equivalent to a number raised to 1, not to 0.

Therefore, if we add the exponents:

79+1=710 7^{9+1}=7^{10}

3

Final Answer

710 7^{10}

Practice Quiz

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

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