What is (5.1)(5.1^2)^4 ?

The solution to (5.1)(5.1^2)^4 is 2334165.17309…

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simplify (5.1)(5.1^2)^4

simplify

(5.1) (5. 1^{2})^{4}

2334165.17309 \dots

Solution steps

(5.1) (5. 1^{2})^{4}

Apply rule:

(a) = a

(5.1) = 5.1

= 5.1 (5. 1^{2})^{4}

Apply exponent rule:

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

(5. 1^{2})^{4} = 5. 1^{2 \cdot 4}

= 5.1 \cdot 5. 1^{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= 5.1 \cdot 5. 1^{8}

5. 1^{8} = 457679.44570 \dots

= 5.1 \cdot 457679.44570 \dots

Multiply the numbers:

5.1 \cdot 457679.44570 \dots = 2334165.17309 \dots

= 2334165.17309 \dots

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