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Popular >

simplify (3/2 x^2)^2

Solution

simplify

(\frac{3}{2} x^{2})^{2}

Solution

\frac{9 x ^{4}}{4}

Solution steps

(\frac{3}{2} x^{2})^{2}

Apply exponent rule:

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

(\frac{3}{2} x^{2})^{2} = (\frac{3}{2})^{2} (x^{2})^{2}

= (\frac{3}{2})^{2} (x^{2})^{2}

(\frac{3}{2})^{2} = \frac{9}{4}

= \frac{9}{4} (x^{2})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= \frac{9}{4} x^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{9}{4} x^{4}

Multiply fractions:

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

= \frac{9 x ^{4}}{4}

Popular Examples

5 x^{2} + 3 x - 1 = 0

(y + 4) (3 y - 5) = 0

factor 6x^2-7x-20 factor

6 x^{2} - 7 x - 20

factor 3y^2+23y+30 factor

3 y^{2} + 23 y + 30

- x^{2} - 8 x - 19 \leq - 4

Frequently Asked Questions (FAQ)

What is (3/2 x^2)^2 ?
The solution to (3/2 x^2)^2 is (9x^4)/4