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