Question

$( {5}^{2} ) ^{3} \times {5}^{4} \div {5}^{6}$
Simplify and give reasons
​

Answer 1

Answer:

(5^2)^3 × 5^4 ÷ 5^6

= 5^6 × 5^4 ÷ 5^6

in thr numerator and denominator 5^6 will get cancel

so

= 5^4

Answer 2

Answer:

$\huge\mathcal{\red{ Hola!}}$

$\huge\mathfrak{\green{ Answer}}$

$\huge\mathcal{\red{ {5}^{4} }}$

Step-by-step explanation:

$(5 {}^{2}) {}^{3} \times {5}^{4} \div {5}^{6}$

$= {5}^{6} \times {5}^{4} \div {5}^{6}$

$because \: we \: know \: that \: (a {}^{n} ) {}^{m} = {a}^{n \times m}$

$\huge\mathcal{\red{Now, \ we \ have}}$

$= {5}^{6} \times 5 {}^{4 - 6}$

$because \: we \: know \: that \: a {}^{n} \div a {}^{m} = {a}^{n - m}$

$= {5}^{6} \times {5}^{ - 2}$

$= {5}^{6 + ( - 2)} \: because \: we \: know$

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

$= {5}^{4}$

$\huge\mathfrak{\red{ All \ the \ very \ best}}$

$\huge\mathfrak{\red{@TheDynamicPrincess}}$