Question

Using law of exponents, simplify (5²)³÷5³​

Answer 1

SOLUTION

TO SIMPLIFY

Using law of exponents

$\sf{ {( {5}^{2} )}^{3} \div {5}^{3} }$

FORMULA TO BE IMPLEMENTED

We are aware of the laws on indices that

$\sf{1. \: \: {( {a}^{m} )}^{n} = {a}^{mn} }$

$\sf{ 2. \: \: {a}^{m} \div {a}^{n} = {a}^{m - n} }$

EVALUATION

$\sf{ {( {5}^{2} )}^{3} \div {5}^{3} }$

$\sf{ = {(5)}^{2 \times 3} \div {5}^{3} } \: \: ( \: using \: law \: 1 \: )$

$\sf{ = {5}^{6} \div {5}^{3} } \:$

$\sf{ = {5}^{6 - 3} } \: \: ( \: using \: law \: 2 \: )$

$\sf{ = {5}^{3} } \: \:$

$= 125$

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Answer 2

Answer:

5^3

Step-by-step explanation:

(5^2)^3/5^3

5^2*3 / 5^3

5^6 / 5^3

5^6-3

5^3