Question

Find the numerical equivalent of 7 2⋅7 3

Answer 1

Thats incorrect

Answer 2

To find the numerical equivalent of \( 7^{2 \cdot 7^3} \), we first need to simplify the expression.

First, calculate \( 7^3 \):
\[
7^3 = 7 \times 7 \times 7 = 343
\]

Now, substitute \( 7^3 \) back into the expression:
\[
7^{2 \cdot 7^3} = 7^{2 \cdot 343}
\]

Next, calculate \( 2 \cdot 343 \):
\[
2 \cdot 343 = 686
\]

Thus, we have:
\[
7^{2 \cdot 7^3} = 7^{686}
\]

The numerical equivalent of \( 7^{2 \cdot 7^3} \) is \( 7^{686} \). If you need a numerical value for \( 7^{686} \), note that it is a very large number and not feasible to compute directly without the aid of software or a calculator that can handle large integers. Therefore, it is usually expressed in its exponential form as \( 7^{686} \).

Answer 3

I apologize for the misunderstanding in the interpretation of the expression. Let's reevaluate the given expression \( 7^{2 \cdot 7^3} \).

1. First, calculate the exponent \( 2 \cdot 7^3 \):
- Find \( 7^3 \):
\[
7^3 = 7 \times 7 \times 7 = 343
\]
- Now multiply by 2:
\[
2 \cdot 343 = 686
\]

2. The exponent is now \( 686 \), so we have:
\[
7^{2 \cdot 7^3} = 7^{686}
\]

However, it seems like there's been a misunderstanding in how to interpret the initial expression. If you meant something different by \( 7^{2 \cdot 7^3} \), could you clarify that for me?

If the expression is indeed \( 7^{2} \cdot 7^{3} \) (which is a different expression), you would apply the property of exponents:

\[
7^{2} \cdot 7^{3} = 7^{2+3} = 7^{5}
\]

If that's what you were looking for, then:

\[
7^5 = 16807
\]

Please confirm if this is what you intended and if there are any further clarifications needed!