Question

solve the expression 15 x 8 to the powerof 8over 5 + 4 (7tothepowerof0 - 6)

Answer 1

Let's solve the expression step by step:

The given expression is

\[
15 \times 8^{\frac{8}{5}} + 4 \times (7^0 - 6)
\]

First, calculate \(7^0\):

\[
7^0 = 1
\]

Now substitute this back into the expression:

\[
15 \times 8^{\frac{8}{5}} + 4 \times (1 - 6)
\]

Next, calculate \(1 - 6\):

\[
1 - 6 = -5
\]

Substituting this back into the expression, we get:

\[
15 \times 8^{\frac{8}{5}} + 4 \times (-5)
\]

Calculating \(4 \times (-5)\):

\[
4 \times (-5) = -20
\]

Now the expression is:

\[
15 \times 8^{\frac{8}{5}} - 20
\]

Next, calculate \(8^{\frac{8}{5}}\):

First, we rewrite 8 as \(2^3\):

\[
8^{\frac{8}{5}} = (2^3)^{\frac{8}{5}} = 2^{\frac{24}{5}}
\]

Now we'll calculate \(15 \times 8^{\frac{8}{5}} = 15 \times 2^{\frac{24}{5}}\).

Instead of calculating \(2^{\frac{24}{5}}\) exactly, we can express it alone, but if you wanted a decimal approximation, it would need a calculator.

For now, let's calculate \(15 \times 8^{\frac{8}{5}}\) in terms of \(2^{\frac{24}{5}}\):

\[
= 15 \times 2^{\frac{24}{5}} - 20
\]

Since this can't be simplified further without a calculator for the exact numerical value of \(2^{\frac{24}{5}}\), we can conclude our expression as:

\[
15 \times 2^{\frac{24}{5}} - 20
\]

If you need the decimal approximation for precision, then \(2^{\frac{24}{5}} \approx 54.736\) leading to:

\[
15 \times 54.736 - 20 \approx 821.04 - 20 = 801.04
\]

Thus, the final approximate answer is:

\[
801.04
\]