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Popular >

simplify 15xy^3(9x^5y^4)

Solution

simplify

15 x y^{3} (9 x^{5} y^{4})

Solution

135 x^{6} y^{7}

Solution steps

15 x y^{3} (9 x^{5} y^{4})

Apply exponent rule:

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

x x^{5} = x^{1 + 5}

= 15 y^{3} \cdot 9 x^{1 + 5} y^{4}

Add the numbers:

1 + 5 = 6

= 15 y^{3} \cdot 9 x^{6} y^{4}

Apply exponent rule:

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

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

= 15 \cdot 9 x^{6} y^{3 + 4}

Add the numbers:

3 + 4 = 7

= 15 \cdot 9 x^{6} y^{7}

Multiply the numbers:

15 \cdot 9 = 135

= 135 x^{6} y^{7}

Popular Examples

2x^3+5x^2<8x+20

2 x^{3} + 5 x^{2} < 8 x + 20

6 k^{2} + 11 k - 46 = 0

simplify (1/2)^4*(1/2)^2 simplify

(\frac{1}{2})^{4} \cdot (\frac{1}{2})^{2}

factor 12x^2+19x+4 factor

12 x^{2} + 19 x + 4

- 6 x - 6 = 103 x - 103

Frequently Asked Questions (FAQ)

What is 15xy^3(9x^5y^4) ?
The solution to 15xy^3(9x^5y^4) is 135x^6y^7