What is (2/3 p^4y^3)(y^4s^5)(6p^2s^3) ?

The solution to (2/3 p^4y^3)(y^4s^5)(6p^2s^3) is 4p^6y^7s^8

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simplify (2/3 p^4y^3)(y^4s^5)(6p^2s^3)

simplify

(\frac{2}{3} p^{4} y^{3}) (y^{4} s^{5}) (6 p^{2} s^{3})

4 p^{6} y^{7} s^{8}

Solution steps

(\frac{2}{3} p^{4} y^{3}) (y^{4} s^{5}) (6 p^{2} s^{3})

Apply exponent rule:

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

p^{4} p^{2} = p^{4 + 2}

= \frac{2}{3} y^{3} y^{4} s^{5} \cdot 6 p^{4 + 2} s^{3}

Add the numbers:

4 + 2 = 6

= \frac{2}{3} y^{3} y^{4} s^{5} \cdot 6 p^{6} s^{3}

Apply exponent rule:

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

y^{3} y^{4} = y^{3 + 4}

= \frac{2}{3} y^{3 + 4} s^{5} \cdot 6 p^{6} s^{3}

Add the numbers:

3 + 4 = 7

= \frac{2}{3} y^{7} s^{5} \cdot 6 p^{6} s^{3}

Apply exponent rule:

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

s^{5} s^{3} = s^{5 + 3}

= \frac{2}{3} y^{7} \cdot 6 p^{6} s^{5 + 3}

Add the numbers:

5 + 3 = 8

= \frac{2}{3} y^{7} \cdot 6 p^{6} s^{8}

Multiply fractions:

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

= \frac{2 y ^{7} \cdot 6 p ^{6} s ^{8}}{3}

Multiply the numbers:

2 \cdot 6 = 12

= \frac{12 p ^{6} y ^{7} s ^{8}}{3}

Divide the numbers:

\frac{12}{3} = 4

= 4 p^{6} y^{7} s^{8}

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What is (2/3 p^4y^3)(y^4s^5)(6p^2s^3) ?
The solution to (2/3 p^4y^3)(y^4s^5)(6p^2s^3) is 4p^6y^7s^8