Math

Question Find the value of 757^{5} from the given options: A) 7×57 \times 5, B) 5×5×5×5×5×5×55 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5, C) 7×7×7×7×77 \times 7 \times 7 \times 7 \times 7, D) 575^{7}.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the value of 757^{5}. . The exponentiation operation is defined as an=a×a×a×...a^{n} = a \times a \times a \times ... (n times).

STEP 2

We can express 757^{5} as multiplication of7, five times.
75=7×7×7×7×77^{5} =7 \times7 \times7 \times7 \times7

STEP 3

Now, we compare this expression with the options given in the problem.
Option A 7×57 \times5 is not equal to 757^{5}.
Option B 5×5×5×5×5×5×55 \times5 \times5 \times5 \times5 \times5 \times5 is not equal to 757^{5}.
Option C 7×7×7×7×77 \times7 \times7 \times7 \times7 is equal to 757^{5}.
Option D 575^{7} is not equal to 757^{5}.
So, the correct answer is Option C 7×7×7×7×77 \times7 \times7 \times7 \times7.

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