What is (2^5)^3*(((5^3)^4)/(2^3)) ?

The solution to (2^5)^3*(((5^3)^4)/(2^3)) is 1000000000000

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simplify (2^5)^3*(((5^3)^4)/(2^3))

simplify

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

1000000000000

Solution steps

(2^{5})^{3} (\frac{( 5 ^{3} ) ^{4}}{2 ^{3}})

Apply rule:

(a) = a

(\frac{( 5 ^{3} ) ^{4}}{2 ^{3}}) = \frac{( 5 ^{3} ) ^{4}}{2 ^{3}}

= (2^{5})^{3} \frac{( 5 ^{3} ) ^{4}}{2 ^{3}}

(2^{5})^{3} = 32768

= 32768 \cdot \frac{( 5 ^{3} ) ^{4}}{2 ^{3}}

(5^{3})^{4} = 244140625

= 32768 \cdot \frac{244140625}{2 ^{3}}

2^{3} = 8

= 32768 \cdot \frac{244140625}{8}

32768 \cdot \frac{244140625}{8} = 1000000000000

= 1000000000000

45

(- 7)^{2}

e^{r} \cdot e^{- s}

9.65 \cdot 1 0^{- 3}

4 e^{- 1.2 (- 2)}

What is (2^5)^3*(((5^3)^4)/(2^3)) ?
The solution to (2^5)^3*(((5^3)^4)/(2^3)) is 1000000000000