What is ((-2)^8*5^3)/(5^4*2^{10)*10} ?

The solution to ((-2)^8*5^3)/(5^4*2^{10)*10} is 1/200

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Popular >

simplify ((-2)^85^3)/(5^42^{10)*10}

simplify

\frac{( - 2 ) ^{8} \cdot 5 ^{3}}{5 ^{4} \cdot 2 ^{10} \cdot 10}

\frac{1}{200}

Decimal Notation

0.005

Solution steps

\frac{( - 2 ) ^{8} \cdot 5 ^{3}}{5 ^{4} \cdot 2 ^{10} \cdot 10}

\frac{5 ^{3}}{5 ^{4}} = \frac{1}{5}

= \frac{( - 2 ) ^{8}}{5 \cdot 2 ^{10} \cdot 10}

Apply exponent rule:

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

n

is even

(- 2)^{8} = 2^{8}

= \frac{2 ^{8}}{5 \cdot 2 ^{10} \cdot 10}

\frac{2 ^{8}}{2 ^{10}} = \frac{1}{2 ^{2}}

= \frac{1}{5 \cdot 2 ^{2} \cdot 10}

\frac{1}{5 \cdot 2 ^{2} \cdot 10} = \frac{1}{200}

= \frac{1}{200}

(2 x^{\frac{1}{4}})^{4}

- 2 (y - 3) \leq 10

\frac{x ^{8}}{x ^{4}}

(- 81)^{\frac{1}{4}}

(x + 9)^{2} < (x - 9)^{2}

What is ((-2)^8*5^3)/(5^4*2^{10)*10} ?
The solution to ((-2)^8*5^3)/(5^4*2^{10)*10} is 1/200