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(64)⁴ ÷ (8)⁵ = ?

1(8)⁸
2(8)²
3(8)¹²
4None of these

Answer:- 1

Explanation:-

Solution:

\begin{aligned} {(64)}^{4} \div {(8)}^{5} \\ = {(8^{2})}^{4} \div {(8)}^{5} \\ = {(8)}^{(2 \times 4)} \div 8^{5} \\ = \frac{8^{8}}{8^{5}} \\ = 8^{(8 - 5)} \\ = 8^{3} \end{aligned}

$\eqalign{ & {\left( {64} \right)^4} \div {\left( 8 \right)^5} \cr & = {\left( {{8^2}} \right)^4} \div {\left( 8 \right)^5} \cr & = {\left( 8 \right)^{\left( {2 \times 4} \right)}} \div {8^5} \cr & = \frac{{{8^8}}}{{{8^5}}} \cr & = {8^{\left( {8 - 5} \right)}} \cr & = {8^3} \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} {(64)}^{4} \div {(8)}^{5} \\ = {(8^{2})}^{4} \div {(8)}^{5} \\ = {(8)}^{(2 \times 4)} \div 8^{5} \\ = \frac{8^{8}}{8^{5}} \\ = 8^{(8 - 5)} \\ = 8^{3} \end{aligned}

$\eqalign{ & {\left( {64} \right)^4} \div {\left( 8 \right)^5} \cr & = {\left( {{8^2}} \right)^4} \div {\left( 8 \right)^5} \cr & = {\left( 8 \right)^{\left( {2 \times 4} \right)}} \div {8^5} \cr & = \frac{{{8^8}}}{{{8^5}}} \cr & = {8^{\left( {8 - 5} \right)}} \cr & = {8^3} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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