What is (1/7 p^2y^3)(y^3s^4)(28p^3s^4) ?

The solution to (1/7 p^2y^3)(y^3s^4)(28p^3s^4) is 4p^5y^6s^8

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simplify (1/7 p^2y^3)(y^3s^4)(28p^3s^4)

simplify

(\frac{1}{7} p^{2} y^{3}) (y^{3} s^{4}) (28 p^{3} s^{4})

4 p^{5} y^{6} s^{8}

Solution steps

(\frac{1}{7} p^{2} y^{3}) (y^{3} s^{4}) (28 p^{3} s^{4})

Apply exponent rule:

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

p^{2} p^{3} = p^{2 + 3}

= \frac{1}{7} y^{3} y^{3} s^{4} \cdot 28 p^{2 + 3} s^{4}

Add the numbers:

2 + 3 = 5

= \frac{1}{7} y^{3} y^{3} s^{4} \cdot 28 p^{5} s^{4}

Apply exponent rule:

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

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

= \frac{1}{7} y^{3 + 3} s^{4} \cdot 28 p^{5} s^{4}

Add the numbers:

3 + 3 = 6

= \frac{1}{7} y^{6} s^{4} \cdot 28 p^{5} s^{4}

Apply exponent rule:

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

s^{4} s^{4} = s^{4 + 4}

= \frac{1}{7} y^{6} \cdot 28 p^{5} s^{4 + 4}

Add the numbers:

4 + 4 = 8

= \frac{1}{7} y^{6} \cdot 28 p^{5} s^{8}

Multiply fractions:

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

= \frac{1 \cdot y ^{6} \cdot 28 p ^{5} s ^{8}}{7}

Multiply the numbers:

1 \cdot 28 = 28

= \frac{28 p ^{5} y ^{6} s ^{8}}{7}

Divide the numbers:

\frac{28}{7} = 4

= 4 p^{5} y^{6} s^{8}

8.55 \cdot 1 0^{- 3}

e^{- 2 t} \cdot (e^{- 2 t} - 2 t e^{- 2 t})

9.11 \cdot 1 0^{- 31} \cdot 10000

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

(33) \cdot 3

What is (1/7 p^2y^3)(y^3s^4)(28p^3s^4) ?
The solution to (1/7 p^2y^3)(y^3s^4)(28p^3s^4) is 4p^5y^6s^8