What is (3/4 z^3x^4)(8/3 x^2z) ?

The solution to (3/4 z^3x^4)(8/3 x^2z) is 2z^4x^6

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simplify (3/4 z^3x^4)(8/3 x^2z)

simplify

(\frac{3}{4} z^{3} x^{4}) (\frac{8}{3} x^{2} z)

2 z^{4} x^{6}

Solution steps

(\frac{3}{4} z^{3} x^{4}) (\frac{8}{3} x^{2} z)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

z^{3} z = z^{3 + 1}

= \frac{3}{4} x^{4} \frac{8}{3} x^{2} z^{3 + 1}

Add the numbers:

3 + 1 = 4

= \frac{3}{4} x^{4} \frac{8}{3} x^{2} z^{4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{4} x^{2} = x^{4 + 2}

= \frac{3}{4} \cdot \frac{8}{3} x^{4 + 2} z^{4}

Add the numbers:

4 + 2 = 6

= \frac{3}{4} \cdot \frac{8}{3} x^{6} z^{4}

Multiply fractions:

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

= \frac{3 \cdot 8 x ^{6} z ^{4}}{4 \cdot 3}

Cancel the common factor:

3

= \frac{8 x ^{6} z ^{4}}{4}

Divide the numbers:

\frac{8}{4} = 2

= 2 z^{4} x^{6}

76 (30 0^{- 0.24}) (40 0^{0.25})

6 \cdot e^{- 1} \cdot (- \frac{2}{16})

\frac{9. 8 ^{2}}{3.5432 9 ^{2}}

6.53 \cdot 1 0^{- 6} \cdot 2.7

\frac{2 ^{x + y + 22}}{5 ^{x + y + 22}}

What is (3/4 z^3x^4)(8/3 x^2z) ?
The solution to (3/4 z^3x^4)(8/3 x^2z) is 2z^4x^6