Hi! How do you simplify (4x^6y^5)^2? Im doing an online summer course in math

Mozziee
Jul 27, 2014

#1**+8 **

$$(4x^6y^5)^2$$

There are rules for this but it is probably better if you just understand so I will try to explain.

$$(4x^6y^5)^2\\\\

=4x^6y^5 \times 4x^6y^5\\\\

=4\times x^6 \times y^5\times 4\times x^6 \times y^5\\\\

=4\times 4\times x^6 \times x^6\times y^5\times y^5 \\\\

=16x^{12} y^{10} \\\\

\mbox{Now for the short cut method}\\

(4 x^6y^5)^2 = 4^2x^{6*2}y^{5*2} = 16x^{12}y^{10}$$

If you do not understand then please make another post on THIS thread. Thank you.

Melody
Jul 27, 2014

#1**+8 **

Best Answer

$$(4x^6y^5)^2$$

There are rules for this but it is probably better if you just understand so I will try to explain.

$$(4x^6y^5)^2\\\\

=4x^6y^5 \times 4x^6y^5\\\\

=4\times x^6 \times y^5\times 4\times x^6 \times y^5\\\\

=4\times 4\times x^6 \times x^6\times y^5\times y^5 \\\\

=16x^{12} y^{10} \\\\

\mbox{Now for the short cut method}\\

(4 x^6y^5)^2 = 4^2x^{6*2}y^{5*2} = 16x^{12}y^{10}$$

If you do not understand then please make another post on THIS thread. Thank you.

Melody
Jul 27, 2014