What is (6xq^3rp^6)(4p^3q^6xr^2) ?

The solution to (6xq^3rp^6)(4p^3q^6xr^2) is 24x^2q^9r^3p^9

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simplify (6xq^3rp^6)(4p^3q^6xr^2)

simplify

(6 x q^{3} r p^{6}) (4 p^{3} q^{6} x r^{2})

24 x^{2} q^{9} r^{3} p^{9}

Solution steps

(6 x q^{3} r p^{6}) (4 p^{3} q^{6} x r^{2})

Apply exponent rule:

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

xx = x^{1 + 1}

= 6 q^{3} r p^{6} \cdot 4 p^{3} q^{6} x^{1 + 1} r^{2}

Add the numbers:

1 + 1 = 2

= 6 q^{3} r p^{6} \cdot 4 p^{3} q^{6} x^{2} r^{2}

Apply exponent rule:

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

q^{3} q^{6} = q^{3 + 6}

= 6 r p^{6} \cdot 4 p^{3} q^{3 + 6} x^{2} r^{2}

Add the numbers:

3 + 6 = 9

= 6 r p^{6} \cdot 4 p^{3} q^{9} x^{2} r^{2}

Apply exponent rule:

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

r r^{2} = r^{1 + 2}

= 6 p^{6} \cdot 4 p^{3} q^{9} x^{2} r^{1 + 2}

Add the numbers:

1 + 2 = 3

= 6 p^{6} \cdot 4 p^{3} q^{9} x^{2} r^{3}

Apply exponent rule:

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

p^{6} p^{3} = p^{6 + 3}

= 6 \cdot 4 p^{6 + 3} q^{9} x^{2} r^{3}

Add the numbers:

6 + 3 = 9

= 6 \cdot 4 p^{9} q^{9} x^{2} r^{3}

Multiply the numbers:

6 \cdot 4 = 24

= 24 x^{2} q^{9} r^{3} p^{9}

x^{- 5} d x

- 48456 e^{- 673}

x^{4} I n (2 x^{7}) d x

e^{- 246}

(0.5 x) \cdot (2.4 x^{2})

What is (6xq^3rp^6)(4p^3q^6xr^2) ?
The solution to (6xq^3rp^6)(4p^3q^6xr^2) is 24x^2q^9r^3p^9