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Popular >

simplify x/((2x^0)^2)

Solution

simplify

\frac{x}{( 2 x ^{0} ) ^{2}}

Solution

\frac{x}{4}

Solution steps

\frac{x}{( 2 x ^{0} ) ^{2}}

Apply exponent rule:

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

(2 x^{0})^{2} = 2^{2} (x^{0})^{2}

= \frac{x}{2 ^{2} ( x ^{0} ) ^{2}}

2^{2} = 4

= \frac{x}{4 ( x ^{0} ) ^{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{0})^{2} = x^{0 \cdot 2}

= \frac{x}{4 x ^{0 \cdot 2}}

Apply rule

0 \cdot a = 0

= \frac{x}{4 x ^{0}}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

x^{0} = 1

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

Multiply the numbers:

4 \cdot 1 = 4

= \frac{x}{4}

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Frequently Asked Questions (FAQ)

What is x/((2x^0)^2) ?
The solution to x/((2x^0)^2) is x/4