Question

simplify. pls. simplify.pls​

Answer 1

Answer:

hope you find it helpful.

Answer 2

$\sf \Large Solution!!$

As we can see, the bases are same in both the sub-parts. So we can apply 2 rules here. The product rule is that when we have to multiply the exponents with the same base, we can keep the base and add the powers. Then there is quotient rule, which is when we have to divide the exponents with the same base, we can keep the base and subtract their powers.

$\sf \to 2^{3}\times 2^{2}\times 2^{4}$

Using the product law.

$\sf \to 2^{3+2+4}$

$\sf \to 2^{9}=512$

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$\sf \to (6^{2}\times 6^{4})÷6^{3}$

Using the product rule.

$\sf \to (6^{2+4})÷6^{3}$

$\sf \to 6^{6}÷6^{3}$

Using the quotient rule.

$\sf \to 6^{6-3}$

$\sf \to 6^{3}=216$