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Popular >

simplify 4(-1/2)^2

Solution

simplify

4 (- \frac{1}{2})^{2}

Solution

1

Solution steps

4 (- \frac{1}{2})^{2}

Apply exponent rule:

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

if

n

is even

(- \frac{1}{2})^{2} = (\frac{1}{2})^{2}

= 4 (\frac{1}{2})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{2})^{2} = \frac{1 ^{2}}{2 ^{2}}

= 4 \cdot \frac{1 ^{2}}{2 ^{2}}

1^{2} = 1

= 4 \cdot \frac{1}{2 ^{2}}

2^{2} = 4

= 4 \cdot \frac{1}{4}

Convert element to fraction:

4 = \frac{4}{1}

= \frac{4}{1} \cdot \frac{1}{4}

Cross-cancel common factor:

4

= 1

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Frequently Asked Questions (FAQ)

What is 4(-1/2)^2 ?
The solution to 4(-1/2)^2 is 1