Answer:
8r^4
Step-by-step explanation:
√(64r^8) = √((8r^4)^2) = 8r^4
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You can make use of either or both of these rules of exponents:
(a^b)^c = a^(b·c) . . . . . used above
[tex]\sqrt[n]{a}=a^{\frac{1}{n}}[/tex]
Using the second rule, you can write the expression as ...
[tex]\sqrt{64r^8}=\sqrt{64}\cdot r^{8\cdot\frac{1}{2}}=8r^4[/tex]
