Question

Simplify ((-3/4)^5)^2?

Answer 1

Answer:

59049/1048576

Step-by-step explanation:

So, with -3/4^5, we have

-3/4*-3/4*-3/4*-3/4*-3/4

This simplifies to,

-243/1024.

This squared, then gives us

(-243/1024)*(-243/1024)

This gives us

59049/1048576.

Answer 2

Step-by-step explanation:

$\bigg[ \bigg( - \frac{3}{4} \bigg) ^{5} \bigg]^{2} \\ \\ = \bigg[ - \frac{3 ^{5} }{4 ^{5} } \bigg]^{2} \\ \\ = \bigg[ - \frac{243}{1024} \bigg]^{2} \\ \\ = \frac{243^{2} }{1024^{2} } \\ \\ = \frac{59,049}{1,048,576} \\ \\ = 0.0563135147 \\ \\ = 0.06$