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Popular >

simplify (-(2^4)/(2^3))^4

Solution

simplify

(- \frac{2 ^{4}}{2 ^{3}})^{4}

Solution

16

Solution steps

(- \frac{2 ^{4}}{2 ^{3}})^{4}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

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

= (\frac{2 ^{4}}{2 ^{3}})^{4}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 ^{4} ) ^{4}}{( 2 ^{3} ) ^{4}}

(2^{4})^{4} = 65536

= \frac{65536}{( 2 ^{3} ) ^{4}}

(2^{3})^{4} = 4096

= \frac{65536}{4096}

Divide the numbers:

\frac{65536}{4096} = 16

= 16

Popular Examples

factor n^2-8n+16 factor

n^{2} - 8 n + 16

y^{2} = 15 y - 56

simplify (-64)^{-3/2}simplify

(- 64)^{- \frac{3}{2}}

simplify 8/3+3 simplify

\frac{8}{3} + 3

7(-q-4)+8q=14q-8-14q

7 (- q - 4) + 8 q = 14 q - 8 - 14 q

Frequently Asked Questions (FAQ)

What is (-(2^4)/(2^3))^4 ?
The solution to (-(2^4)/(2^3))^4 is 16