Simplify ((2ab^6)/(a^3b))^-2

Math
(2ab6a3b)-2
Cancel the common factor of a and a3.
Tap for more steps…
Factor a out of 2ab6.
(a(2b6)a3b)-2
Cancel the common factors.
Tap for more steps…
Factor a out of a3b.
(a(2b6)a(a2b))-2
Cancel the common factor.
(a(2b6)a(a2b))-2
Rewrite the expression.
(2b6a2b)-2
(2b6a2b)-2
(2b6a2b)-2
Cancel the common factor of b6 and b.
Tap for more steps…
Factor b out of 2b6.
(b(2b5)a2b)-2
Cancel the common factors.
Tap for more steps…
Factor b out of a2b.
(b(2b5)ba2)-2
Cancel the common factor.
(b(2b5)ba2)-2
Rewrite the expression.
(2b5a2)-2
(2b5a2)-2
(2b5a2)-2
Change the sign of the exponent by rewriting the base as its reciprocal.
(a22b5)2
Use the power rule (ab)n=anbn to distribute the exponent.
Tap for more steps…
Apply the product rule to a22b5.
(a2)2(2b5)2
Apply the product rule to 2b5.
(a2)222(b5)2
(a2)222(b5)2
Multiply the exponents in (a2)2.
Tap for more steps…
Apply the power rule and multiply exponents, (am)n=amn.
a2⋅222(b5)2
Multiply 2 by 2.
a422(b5)2
a422(b5)2
Simplify the denominator.
Tap for more steps…
Raise 2 to the power of 2.
a44(b5)2
Multiply the exponents in (b5)2.
Tap for more steps…
Apply the power rule and multiply exponents, (am)n=amn.
a44b5⋅2
Multiply 5 by 2.
a44b10
a44b10
a44b10
Simplify ((2ab^6)/(a^3b))^-2

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top