Answer all questions correctly.

Question

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

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 2

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

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 \(3^6\).