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Popular >

simplify 6(sqrt(2)^5)

Solution

simplify

6 (2^{5})

Solution

242

+1

Decimal

33.94112 \dots

Solution steps

6 ((2)^{5})

Apply rule:

(a) = a

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

= 6 (2)^{5}

Apply exponent rule:

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

(2)^{4 + 1} = (2)^{4} 2

= 6 (2)^{4} 2

(2)^{4} = ((2)^{2})^{2}

= 6 ((2)^{2})^{2} 2

Apply exponent rule:

(n a)^{n} = a, n i s o dd or a \geq 0

(2)^{2} = 2

= 6 \cdot 2^{2} 2

2^{2} = 4

= 6 \cdot 42

Multiply the numbers:

6 \cdot 4 = 24

= 242

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Frequently Asked Questions (FAQ)

What is 6(sqrt(2)^5) ?
The solution to 6(sqrt(2)^5) is 24sqrt(2)