Question

Simplify. a16. ×. a7​

Answer 1

Answer:

a^16+7

a^23

.

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Answer 2

SOLUTION

TO DETERMINE

The value of

$\sf {a}^{16} \times {a}^{7}$

EVALUATION

We are aware of the formula on indices that

$\sf {a}^{m} \times {a}^{n} = {a}^{m + n}$

Here the given expression is

$\sf {a}^{16} \times {a}^{7}$

We now use the formula

$\boxed{ \: \: \sf {a}^{m} \times {a}^{n} = {a}^{m + n} \: \: }$

Thus we get

$\sf {a}^{16} \times {a}^{7}$

$\sf = {a}^{16 + 7}$

$\sf = {a}^{23}$

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