What is ((2^{-10})/(4^2))^7 ?

The solution to ((2^{-10})/(4^2))^7 is 1/(2^{70)*268435456}

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simplify ((2^{-10})/(4^2))^7

simplify

(\frac{2 ^{- 10}}{4 ^{2}})^{7}

\frac{1}{2 ^{70} \cdot 268435456}

Decimal Notation

3.15544 E - 30

Solution steps

(\frac{2 ^{- 10}}{4 ^{2}})^{7}

Apply exponent rule:

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

= \frac{( 2 ^{- 10} ) ^{7}}{( 4 ^{2} ) ^{7}}

(2^{- 10})^{7} = \frac{1}{2 ^{70}}

= \frac{\frac{1}{2 ^{70}}}{( 4 ^{2} ) ^{7}}

(4^{2})^{7} = 268435456

= \frac{\frac{1}{2 ^{70}}}{268435456}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{1}{2 ^{70} \cdot 268435456}

x^{2} - 6 x = 27

7^{2} + 4^{2}

∣ - 3 x - 1 ∣ - 8 > 0

2 (x + 7) \geq 24

- 2 \leq x \leq 2

What is ((2^{-10})/(4^2))^7 ?
The solution to ((2^{-10})/(4^2))^7 is 1/(2^{70)*268435456}