Question

Simplify (two to the power of two) to the power of nine write your answer and exponential form example five to the second power not 25

Answer 1

Fully simplify and write your answer and exponential form with positive exponents only one over Z to the power four times1 over Z to the power of two equals

Answer 2

To simplify \((2^2)^9\), you can use the property of exponents that states \((a^m)^n = a^{m \cdot n}\).

So, \((2^2)^9 = 2^{2 \cdot 9} = 2^{18}\).

Thus, the simplified answer in exponential form is \(2^{18}\).

Answer 3

To simplify the expression \(\frac{1}{Z^4} \times \frac{1}{Z^2}\), you can first combine the two fractions:

\[
\frac{1}{Z^4} \times \frac{1}{Z^2} = \frac{1 \times 1}{Z^4 \times Z^2} = \frac{1}{Z^{4 + 2}} = \frac{1}{Z^6}
\]

Next, to express this with a positive exponent, you can rewrite \(\frac{1}{Z^6}\) as:

\[
Z^{-6}
\]

Thus, the fully simplified answer in exponential form with positive exponents is:

\[
Z^{-6}
\]