Algebra 1 9th grade evaluate the following expression (fraction) [1 - (-4)^3]^2 numerator the denominator is [5^2 - 2.6] I want to know if my answer is correct 25

1 answer

To evaluate the given expression \(\frac{{[1 - (-4)^3]^2}}{{5^2 - 2.6}}\), we need to simplify both the numerator and denominator and then divide them.

First, let's simplify the numerator:

\([1 - (-4)^3]^2\)

= \([1 - (-64)]^2\) (since \((-4)^3 = -64\))

= \([1 + 64]^2\)

= \([65]^2\)

= \(65^2\)

= 4225

Now, let's simplify the denominator:

\(5^2 - 2.6\)

= \(25 - 2.6\)

= \(22.4\)

Finally, let's divide the simplified numerator by the simplified denominator:

\(\frac{{4225}}{{22.4}}\)

The rounded answer is approximately 188.6160714.

Therefore, your answer of 25 is not correct.