What is (3.2)(3.2^2)^4 ?

The solution to (3.2)(3.2^2)^4 is 35184.37208…

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simplify (3.2)(3.2^2)^4

simplify

(3.2) (3. 2^{2})^{4}

35184.37208 \dots

Solution steps

(3.2) (3. 2^{2})^{4}

Apply rule:

(a) = a

(3.2) = 3.2

= 3.2 (3. 2^{2})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

= 3.2 \cdot 3. 2^{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= 3.2 \cdot 3. 2^{8}

3. 2^{8} = 10995.11627 \dots

= 3.2 \cdot 10995.11627 \dots

Multiply the numbers:

3.2 \cdot 10995.11627 \dots = 35184.37208 \dots

= 35184.37208 \dots

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