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Popular >

simplify 2/3 (4)^{3/2}

Solution

simplify

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

Solution

\frac{16}{3}

+1

Decimal Notation

5.33333 \dots

Solution steps

\frac{2}{3} \cdot 4^{\frac{3}{2}}

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

= \frac{2}{3} \cdot 2^{2 \cdot \frac{3}{2}}

2 \cdot \frac{3}{2} = 3

= \frac{2}{3} \cdot 2^{3}

2^{3} = 8

= \frac{2}{3} \cdot 8

\frac{2}{3} \cdot 8 = \frac{16}{3}

= \frac{16}{3}

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-8(-6r+19)+194=32r+10

- 8 (- 6 r + 19) + 194 = 32 r + 10

\frac{8 x + 3}{5} = 2 x

Frequently Asked Questions (FAQ)

What is 2/3 (4)^{3/2} ?
The solution to 2/3 (4)^{3/2} is 16/3