Question

simplify:- (256) to the power -(4) which is to the power -(3/2)

Answer 1

[(256)^-4]^-3/2

(a^m)^n = a^mn

256^-4×-3/2
= 256^6

Answer 2

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

$= > {( {(256)}^{ - 4} )}^{ - \frac{3}{2} }$

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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$= > {( {(256)}^{ - 4} )}^{ - \frac{3}{2} }$

Note:-

$\bold{\boxed{ = > {( {(a)}^{m} )}^{n} = {a}^{mn}}}$

=>256 can be also written as 4 to the power 4.(e.g=>4×4×4×4)

$= > {( {(256)}^{ - 4} )}^{ - \frac{3}{2} } = {(256)}^{ - 4 \times - \frac{3}{2} }$

$= {(256)}^{ \frac{12}{2} } = {(256)}^{6} = { ({(4)}^{4} )}^{6} = {(4)}^{24}$

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