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Popular >

simplify (4/5 a^2)^2

Solution

simplify

(\frac{4}{5} a^{2})^{2}

Solution

\frac{16 a ^{4}}{25}

Solution steps

(\frac{4}{5} a^{2})^{2}

Apply exponent rule:

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

(\frac{4}{5} a^{2})^{2} = (\frac{4}{5})^{2} (a^{2})^{2}

= (\frac{4}{5})^{2} (a^{2})^{2}

(\frac{4}{5})^{2} = \frac{16}{25}

= \frac{16}{25} (a^{2})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= \frac{16}{25} a^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{16}{25} a^{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{16 a ^{4}}{25}

Popular Examples

log_{4}(x^2-3x)=1

lo g_{4} (x^{2} - 3 x) = 1

n - 43 = 5

simplify (1+1/0)^0 simplify

(1 + \frac{1}{0})^{0}

u^{2} + 18 u - 19 = 0

simplify (20!)/(5!15!)simplify

\frac{20 !}{5 ! 15 !}

Frequently Asked Questions (FAQ)

What is (4/5 a^2)^2 ?
The solution to (4/5 a^2)^2 is (16a^4)/(25)