What is (1/3 x^4r^2)(r^2z^4)(9x^2z^4) ?

The solution to (1/3 x^4r^2)(r^2z^4)(9x^2z^4) is 3x^6r^4z^8

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simplify (1/3 x^4r^2)(r^2z^4)(9x^2z^4)

simplify

(\frac{1}{3} x^{4} r^{2}) (r^{2} z^{4}) (9 x^{2} z^{4})

3 x^{6} r^{4} z^{8}

Solution steps

(\frac{1}{3} x^{4} r^{2}) (r^{2} z^{4}) (9 x^{2} z^{4})

Apply exponent rule:

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

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

= \frac{1}{3} r^{2} r^{2} z^{4} \cdot 9 x^{4 + 2} z^{4}

Add the numbers:

4 + 2 = 6

= \frac{1}{3} r^{2} r^{2} z^{4} \cdot 9 x^{6} z^{4}

Apply exponent rule:

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

r^{2} r^{2} = r^{2 + 2}

= \frac{1}{3} r^{2 + 2} z^{4} \cdot 9 x^{6} z^{4}

Add the numbers:

2 + 2 = 4

= \frac{1}{3} r^{4} z^{4} \cdot 9 x^{6} z^{4}

Apply exponent rule:

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

z^{4} z^{4} = z^{4 + 4}

= \frac{1}{3} r^{4} \cdot 9 x^{6} z^{4 + 4}

Add the numbers:

4 + 4 = 8

= \frac{1}{3} r^{4} \cdot 9 x^{6} z^{8}

Multiply fractions:

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

= \frac{1 \cdot r ^{4} \cdot 9 x ^{6} z ^{8}}{3}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{9 x ^{6} r ^{4} z ^{8}}{3}

Divide the numbers:

\frac{9}{3} = 3

= 3 x^{6} r^{4} z^{8}

a \cdot x

(2 x) (4 x^{3})

0.5 e^{- j \frac{π}{3}}

(2 x ln (2 x) + x) (2 x)^{x^{2}}

What is (1/3 x^4r^2)(r^2z^4)(9x^2z^4) ?
The solution to (1/3 x^4r^2)(r^2z^4)(9x^2z^4) is 3x^6r^4z^8