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Problem 273

Algebra Difficulty 2.1 Find the answer CEMC Cayley

Which of the following is equal to $9^{4}$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Since $9=3 \times 3$ , then $9^{4}=(3 \times 3)^{4}=3^{4} \times 3^{4}=3^{8}$ . Alternatively, we can note that $9^{4}=9 \times 9 \times 9 \times 9=(3 \times 3) \times(3 \times 3) \times(3 \times 3) \times(3 \times 3)=3^{8}$ .

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