What is (5x^6y^7)(8x^{20}y^9) ?

The solution to (5x^6y^7)(8x^{20}y^9) is 40x^{26}y^{16}

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simplify (5x^6y^7)(8x^{20}y^9)

simplify

(5 x^{6} y^{7}) (8 x^{20} y^{9})

40 x^{26} y^{16}

Solution steps

(5 x^{6} y^{7}) (8 x^{20} y^{9})

Apply exponent rule:

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

x^{6} x^{20} = x^{6 + 20}

= 5 y^{7} \cdot 8 x^{6 + 20} y^{9}

Add the numbers:

6 + 20 = 26

= 5 y^{7} \cdot 8 x^{26} y^{9}

Apply exponent rule:

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

y^{7} y^{9} = y^{7 + 9}

= 5 \cdot 8 x^{26} y^{7 + 9}

Add the numbers:

7 + 9 = 16

= 5 \cdot 8 x^{26} y^{16}

Multiply the numbers:

5 \cdot 8 = 40

= 40 x^{26} y^{16}

9.8 \cdot 1 0^{- 8}

(e^{5})^{5}

((- 2.25)^{3})^{7}

e^{- (- 0.5 + (- 1))}

What is (5x^6y^7)(8x^{20}y^9) ?
The solution to (5x^6y^7)(8x^{20}y^9) is 40x^{26}y^{16}