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

The solution to 4/3 pi(2*2)^3 is 33.51032…^4

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

simplify

\frac{4}{3} π (2 \cdot 2)^{3}

33.51032 \dots^{4}

Solution steps

\frac{4}{3} π (2 \cdot 2)^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 1.33333 \dots^{1} π^{1} (2 \cdot 2)^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

Add the numbers:

1 + 3 = 4

Apply rule

a^{1} = a

1.33333 \dots^{1} = 1.33333 \dots

= 2^{3} \cdot 1.33333 \dots π^{4}

2^{3} = 8

= 8 \cdot 1.33333 \dots π^{4}

Multiply the numbers:

1.33333 \dots \cdot 8 = 10.66666 \dots

= 10.66666 \dots π^{4}

Multiply the numbers:

10.66666 \dots \cdot 3.14159 \dots = 33.51032 \dots

= 33.51032 \dots^{4}

\frac{( 2 ^{1 0^{12} - 8} )}{390625}

x^{2 - 4 x - 21}

x^{2} + \frac{1}{2} x + 1

sin^{2} (x) (cos (x))^{2}

l {4 t cos (2 t)}