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Popular >

simplify (((2^24^22))/(4*2^3))^2

Solution

simplify

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

Solution

16

Solution steps

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

Apply exponent rule:

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

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

(2^{2} \cdot 4^{2} \cdot 2)^{2} = 16384

= \frac{16384}{( 4 \cdot 2 ^{3} ) ^{2}}

(4 \cdot 2^{3})^{2} = 1024

= \frac{16384}{1024}

Divide the numbers:

\frac{16384}{1024} = 16

= 16

Popular Examples

simplify (10q^5w^7)/(2w^3)*(4(q^6)^2)/(w^{-5)}simplify

\frac{10 q ^{5} w ^{7}}{2 w ^{3}} \cdot \frac{4 ( q ^{6} ) ^{2}}{w ^{- 5}}

(x^{2} - 4) = 0

simplify (8)^2 simplify

(8)^{2}

(x-4)/(x^2-49)<0

\frac{x - 4}{x ^{2} - 49} < 0

(x + 5) (x - 5) = - 9

Frequently Asked Questions (FAQ)

What is (((2^24^22))/(4*2^3))^2 ?
The solution to (((2^24^22))/(4*2^3))^2 is 16