Simplify (-4p^4q^7)^6

Math
(-4p4q7)6
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -4p4q7.
(-4p4)6(q7)6
Apply the product rule to -4p4.
(-4)6(p4)6(q7)6
(-4)6(p4)6(q7)6
Raise -4 to the power of 6.
4096(p4)6(q7)6
Multiply the exponents in (p4)6.
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Apply the power rule and multiply exponents, (am)n=amn.
4096p4⋅6(q7)6
Multiply 4 by 6.
4096p24(q7)6
4096p24(q7)6
Multiply the exponents in (q7)6.
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Apply the power rule and multiply exponents, (am)n=amn.
4096p24q7⋅6
Multiply 7 by 6.
4096p24q42
4096p24q42
Simplify (-4p^4q^7)^6

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