Question

${3}^{5} \times {7}^{9} \div {7}^{9} \times {3}^{5}$
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Answer 1

Answer:

1

Step-by-step explanation:

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Answer 2

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Answer:

$\sf{ {3}^{5} \times {7}^{9} \div {7}^{9} \times {3}^{5} }$

$\sf = \dfrac{ {3}^{5} \times {7}^{9} }{ {7}^{9} \times {3}^{5} }$

Let's make take like terms on one side:

$\sf = \dfrac{ {3}^{5} \times {7}^{9} }{ {3}^{5} \times {7}^{9} }$

Now we know that when the bases are same in numinator and denominator then powers are substracted.

As,

$\sf = {3}^{5 - 5} \times {7}^{9 - 9}$

$\sf = {3}^{0} \times {7}^{0}$

Any number raise to power 0 is 1

a⁰ = 1

So,

$\sf = 1 \times 1$

$\sf = 1$

Therefore, Answer = 1