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Popular >

simplify (1/2 t^2)^2

Solution

simplify

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

Solution

\frac{t ^{4}}{4}

Solution steps

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

Apply exponent rule:

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

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

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

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{4} t^{4}

Simplify

\frac{1}{4} t^{4} : \frac{t ^{4}}{4}

= \frac{t ^{4}}{4}

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Frequently Asked Questions (FAQ)

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