# Exponents power to a power

• Feb 26th 2009, 03:16 PM
Jubbly
Exponents power to a power
Wondering if someone can check my work, thanks!

(5x^3y^2)^3
I got 125x^9y^6

(3ab^5)^2(a^4b^6)
I got 9a^6b^16

(-2fg^2h^7)^4
I got -16f^4g^8h^28

(3xy)^3(4x^5y^2)^2
I got 432x^13y^4

Also was wondering if anyone can help me with this probelm
-(4x)^3(2x)^2(x^5)^5
• Feb 26th 2009, 06:25 PM
HallsofIvy
Quote:

Originally Posted by Jubbly
Wondering if someone can check my work, thanks!

(5x^3y^2)^3
I got 125x^9y^6

correct

Quote:

(3ab^5)^2(a^4b^6)
I got 9a^6b^16
correct

Quote:

(-2fg^2h^7)^4
I got -16f^4g^8h^28
\$\displaystyle (-1)4= 1\$ not -1.

Quote:

(3xy)^3(4x^5y^2)^2
I got 432x^13y^4
You forgot the first \$\displaystyle y^3\$

Quote:

Also was wondering if anyone can help me with this probelm
-(4x)^3(2x)^2(x^5)^5
\$\displaystyle 4^3= 64\$, \$\displaystyle 2^2= 4\$ and 64(4)= 256. \$\displaystyle (x^3)(x^2)(x^5)= x^{3+ 2+ 5}= x^{10}\$. And notice that the "-" is outside any power.
• Feb 26th 2009, 06:37 PM
Jubbly
Uhm.. for this equation (-2fg^2h^7)^4
I don't understand you, other than that thanks for helping!
Also for the last one since the negative is outside will the numbers still be negative?
• Feb 27th 2009, 12:39 AM