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5^(2)*5^(6)

$5^{2} * 5^{6}$

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Multiplication with rational exponents

Full solution

Q.

5^{2} * 5^{6}

Recognize base and exponents: Step $1$ : Recognize the base and exponents. $\newline$ We have two terms with the same base $5$ raised to different exponents $2$ and $6$ . We need to multiply these terms. $\newline$ Calculation: $5^{2} \times 5^{6}$
Apply exponent multiplication rule: Step $2$ : Apply the exponent multiplication rule. $\newline$ When multiplying powers with the same base, add the exponents. $\newline$ Calculation: $5^{(2+6)} = 5^{8}$
Calculate final value: Step $3$ : Calculate the final value. $\newline$ Simplify $5^{8}$ by multiplying $5$ by itself $8$ times. $\newline$ Calculation: $5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 = 390625$

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(A) No, since the function is not differentiable on that interval.

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(B) No, since the average rate of change of

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Question

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1

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\frac{\sqrt{2 x-9}}{2}

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