What is (15xy^2)(1/3 x^2z^3)(y^3z^4) ?

The solution to (15xy^2)(1/3 x^2z^3)(y^3z^4) is 5x^3y^5z^7

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simplify (15xy^2)(1/3 x^2z^3)(y^3z^4)

simplify

(15 x y^{2}) (\frac{1}{3} x^{2} z^{3}) (y^{3} z^{4})

5 x^{3} y^{5} z^{7}

Solution steps

(15 x y^{2}) (\frac{1}{3} x^{2} z^{3}) (y^{3} z^{4})

Apply exponent rule:

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

x x^{2} = x^{1 + 2}

= 15 y^{2} \frac{1}{3} x^{1 + 2} z^{3} y^{3} z^{4}

Add the numbers:

1 + 2 = 3

= 15 y^{2} \frac{1}{3} x^{3} z^{3} y^{3} z^{4}

Apply exponent rule:

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

y^{2} y^{3} = y^{2 + 3}

= 15 \cdot \frac{1}{3} x^{3} z^{3} y^{2 + 3} z^{4}

Add the numbers:

2 + 3 = 5

= 15 \cdot \frac{1}{3} x^{3} z^{3} y^{5} z^{4}

Apply exponent rule:

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

z^{3} z^{4} = z^{3 + 4}

= 15 \cdot \frac{1}{3} x^{3} y^{5} z^{3 + 4}

Add the numbers:

3 + 4 = 7

= 15 \cdot \frac{1}{3} x^{3} y^{5} z^{7}

Multiply fractions:

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

= \frac{1 \cdot 15 x ^{3} y ^{5} z ^{7}}{3}

Multiply the numbers:

1 \cdot 15 = 15

= \frac{15 x ^{3} y ^{5} z ^{7}}{3}

Divide the numbers:

\frac{15}{3} = 5

= 5 x^{3} y^{5} z^{7}

(x - 4)^{2} - 31 = 30

3 (2 v + 8) = 60

\frac{( - 2 m ^{4} ) ^{2}}{8 m ^{2}}

\frac{5 b ^{- 2}}{b ^{- 3}}

∣ 2 x + 3 ∣ + 5 < 4

What is (15xy^2)(1/3 x^2z^3)(y^3z^4) ?
The solution to (15xy^2)(1/3 x^2z^3)(y^3z^4) is 5x^3y^5z^7