What is (8a^2z)(1/2 a^3z^4) ?

The solution to (8a^2z)(1/2 a^3z^4) is 4a^5z^5

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simplify (8a^2z)(1/2 a^3z^4)

simplify

(8 a^{2} z) (\frac{1}{2} a^{3} z^{4})

4 a^{5} z^{5}

Solution steps

(8 a^{2} z) (\frac{1}{2} a^{3} z^{4})

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

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

Add the numbers:

2 + 3 = 5

= 8 z \frac{1}{2} a^{5} z^{4}

Apply exponent rule:

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

z z^{4} = z^{1 + 4}

= 8 \cdot \frac{1}{2} a^{5} z^{1 + 4}

Add the numbers:

1 + 4 = 5

= 8 \cdot \frac{1}{2} a^{5} z^{5}

Multiply fractions:

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

= \frac{1 \cdot 8 a ^{5} z ^{5}}{2}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8 a ^{5} z ^{5}}{2}

Divide the numbers:

\frac{8}{2} = 4

= 4 a^{5} z^{5}

7 - 5 + 3 x - 1 = 7 + 3

7 \cdot 10

\frac{5}{2} + 4

lo g_{\frac{1}{2}} (n) > 0

\frac{5}{6} \cdot \frac{1}{2}