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Scavenger Hunt Name qquad Task Type (4^(5))^(2) into the calculator. Which does it match? a. 4^(7)

Scavenger Hunt\newlineName\newline \qquad \newlineTask\newlineType (45)2 \left(4^{5}\right)^{2} into the calculator.\newlineWhich does it match?\newlinea. 47 4^{7}

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Full solution

Q. Scavenger Hunt\newlineName\newline \qquad \newlineTask\newlineType (45)2 \left(4^{5}\right)^{2} into the calculator.\newlineWhich does it match?\newlinea. 47 4^{7}
  1. Write Problem: First, let's write down the problem: (45)2(4^{5})^{2}. We need to use the power of a power rule which says (ab)c=ab∗c(a^{b})^{c} = a^{b*c}.
  2. Apply Power Rule: Now, let's do the math: (45)2=45∗2=410(4^{5})^{2} = 4^{5*2} = 4^{10}.
  3. Perform Calculation: So, if we type (45)2(4^{5})^{2} into the calculator, it should match 4104^{10}, not 474^{7}.

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