Question

simplify & express in exponential form
${5}^{2} \times {5}^{7}$


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Answer 1

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$\longrightarrow$5² = 5 × 5 = 25

$\longrightarrow \: {5}^{7} = 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 = 78,125$

$\longrightarrow$${5}^{2} \times {5}^{7} = 25 \times 78125$

$= 1,953,125 = {5}^{9}$

$\longrightarrow$ also ${a}^{m} × {a}^{n} = {a}^{m+n}$

$\longrightarrow$ 5² + ${5}^{7}$ = ${5}^{9}$

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