Question

Find the numerical equivalent 10^2 • 10^3

Answer 1

Find the numerical equivalent 2^5 • 2^-#

Answer 2

sorry Find the numerical equivalent 2^5 • 2^-2

Answer 3

Find the numerical equivalent 4^9•4^-7

Answer 4

To find the numerical equivalent of \(10^2 \cdot 10^3\), you can use the property of exponents which states that when you multiply two powers with the same base, you add the exponents.

So, we have:

\[
10^2 \cdot 10^3 = 10^{2+3} = 10^5
\]

Now, calculating \(10^5\):

\[
10^5 = 100000
\]

Thus, the numerical equivalent of \(10^2 \cdot 10^3\) is \(100000\).

Answer 5

To find the numerical equivalent of \(2^5 \cdot 2^{-#}\), you can use the property of exponents that states when multiplying two powers with the same base, you can add the exponents.

So, we have:

\[
2^5 \cdot 2^{-#} = 2^{5 - #}
\]

Without knowing the value of \(#\), we cannot compute a specific numerical equivalent, but the expression simplifies to \(2^{5 - #}\). If you provide a specific value for \(#\), I can give you the numerical equivalent.

Answer 6

To find the numerical equivalent of \(2^5 \cdot 2^{-2}\), we use the property of exponents that states when multiplying powers with the same base, we add the exponents:

\[
2^5 \cdot 2^{-2} = 2^{5 + (-2)} = 2^{5 - 2} = 2^3
\]

Now, calculating \(2^3\):

\[
2^3 = 8
\]

Thus, the numerical equivalent of \(2^5 \cdot 2^{-2}\) is \(8\).

Answer 7

To find the numerical equivalent of \(4^9 \cdot 4^{-7}\), we can use the property of exponents that states when multiplying powers with the same base, we add the exponents:

\[
4^9 \cdot 4^{-7} = 4^{9 + (-7)} = 4^{9 - 7} = 4^2
\]

Now, calculating \(4^2\):

\[
4^2 = 16
\]

Thus, the numerical equivalent of \(4^9 \cdot 4^{-7}\) is \(16\).