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Popular >

simplify 0.5(-sqrt(8))^2

Solution

simplify

0.5 (- 8)^{2}

Solution

4

Solution steps

0.5 (- 8)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 8)^{2} = (8)^{2}

= 0.5 (8)^{2}

8 = 22

= 0.5 (22)^{2}

Apply exponent rule:

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

(22)^{2} = 2^{2} (2)^{2}

= 0.5 \cdot 2^{2} (2)^{2}

2^{2} = 4

= 0.5 \cdot 4 (2)^{2}

4 (2)^{2} = 8

= 0.5 \cdot 8

Multiply the numbers:

0.5 \cdot 8 = 4

= 4

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Frequently Asked Questions (FAQ)

What is 0.5(-sqrt(8))^2 ?
The solution to 0.5(-sqrt(8))^2 is 4