Question

Answer all questions correctly.
What is the value of 3^2 * 3^4

Write 7*7*7 using an exponent.

Write 8^4 as a whole number. You may use a calculator.

What is 10^9*10^7

What is X^2*X^5

Answer 1

What is the value of 3^2 * 3^4 as an exponent

Answer 2

1. The value of \(3^2 * 3^4\) can be calculated using the property of exponents \(a^m * a^n = a^{m+n}\). Therefore:
\[
3^2 * 3^4 = 3^{2+4} = 3^6 = 729
\]

2. Writing \(7 * 7 * 7\) using an exponent gives:
\[
7^3
\]

3. Calculating \(8^4\):
\[
8^4 = 8 \times 8 \times 8 \times 8 = 4096
\]

4. For \(10^9 * 10^7\):
\[
10^9 * 10^7 = 10^{9+7} = 10^{16}
\]

5. Using the same property of exponents for \(X^2 * X^5\):
\[
X^2 * X^5 = X^{2+5} = X^7
\]

In summary:
1. \(729\)
2. \(7^3\)
3. \(4096\)
4. \(10^{16}\)
5. \(X^7\)

Answer 3

To express the value of \(3^2 * 3^4\) as a single exponent, you can use the property of exponents that states \(a^m * a^n = a^{m+n}\).

Thus,

\[
3^2 * 3^4 = 3^{2+4} = 3^6
\]

So, the value expressed as an exponent is \(3^6\).