What is (6/7 p^4r^3)(r^2z^4)(14p^3z^2) ?

The solution to (6/7 p^4r^3)(r^2z^4)(14p^3z^2) is 12p^7r^5z^6

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simplify (6/7 p^4r^3)(r^2z^4)(14p^3z^2)

simplify

(\frac{6}{7} p^{4} r^{3}) (r^{2} z^{4}) (14 p^{3} z^{2})

12 p^{7} r^{5} z^{6}

Solution steps

(\frac{6}{7} p^{4} r^{3}) (r^{2} z^{4}) (14 p^{3} z^{2})

Apply exponent rule:

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

p^{4} p^{3} = p^{4 + 3}

= \frac{6}{7} r^{3} r^{2} z^{4} \cdot 14 p^{4 + 3} z^{2}

Add the numbers:

4 + 3 = 7

= \frac{6}{7} r^{3} r^{2} z^{4} \cdot 14 p^{7} z^{2}

Apply exponent rule:

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

r^{3} r^{2} = r^{3 + 2}

= \frac{6}{7} r^{3 + 2} z^{4} \cdot 14 p^{7} z^{2}

Add the numbers:

3 + 2 = 5

= \frac{6}{7} r^{5} z^{4} \cdot 14 p^{7} z^{2}

Apply exponent rule:

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

z^{4} z^{2} = z^{4 + 2}

= \frac{6}{7} r^{5} \cdot 14 p^{7} z^{4 + 2}

Add the numbers:

4 + 2 = 6

= \frac{6}{7} r^{5} \cdot 14 p^{7} z^{6}

Multiply fractions:

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

= \frac{6 r ^{5} \cdot 14 p ^{7} z ^{6}}{7}

Multiply the numbers:

6 \cdot 14 = 84

= \frac{84 p ^{7} r ^{5} z ^{6}}{7}

Divide the numbers:

\frac{84}{7} = 12

= 12 p^{7} r^{5} z^{6}

- 2 + 6

5^{2}

- 24 = 8 x - 4 x^{2}

\frac{3}{3 ^{2} + 1}

10 + 2 x^{2} = 20

What is (6/7 p^4r^3)(r^2z^4)(14p^3z^2) ?
The solution to (6/7 p^4r^3)(r^2z^4)(14p^3z^2) is 12p^7r^5z^6