What is (6.5)(6.5^2)^4 ?

The solution to (6.5)(6.5^2)^4 is 20711912.83789…

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simplify (6.5)(6.5^2)^4

simplify

(6.5) (6. 5^{2})^{4}

20711912.83789 \dots

Solution steps

(6.5) (6. 5^{2})^{4}

Apply rule:

(a) = a

(6.5) = 6.5

= 6.5 (6. 5^{2})^{4}

Apply exponent rule:

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

(6. 5^{2})^{4} = 6. 5^{2 \cdot 4}

= 6.5 \cdot 6. 5^{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= 6.5 \cdot 6. 5^{8}

6. 5^{8} = 3186448.12890 \dots

= 6.5 \cdot 3186448.12890 \dots

Multiply the numbers:

6.5 \cdot 3186448.12890 \dots = 20711912.83789 \dots

= 20711912.83789 \dots

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