Question

Find the numerical equivalent of 10(cubed 2) ⋅10(cubed 3) (1 point)

Answer 1

can you not make it crazy looking.

Answer 2

To solve the expression \( 10^{(2^3)} \cdot 10^{(3^3)} \), we first need to calculate the exponents:

1. Calculate \( 2^3 \):
\[
2^3 = 2 \times 2 \times 2 = 8
\]

2. Calculate \( 3^3 \):
\[
3^3 = 3 \times 3 \times 3 = 27
\]

Now, we can rewrite the expression using these values:
\[
10^{(2^3)} \cdot 10^{(3^3)} = 10^8 \cdot 10^{27}
\]

Next, we can apply the property of exponents that states \( a^m \cdot a^n = a^{m+n} \):
\[
10^8 \cdot 10^{27} = 10^{(8 + 27)} = 10^{35}
\]

Finally, the numerical equivalent of \( 10^{35} \) is:
\[
10^{35} = 100000000000000000000000000000000000000
\]

Thus, the final answer is:
\[
\boxed{10^{35}}
\] or in numerical form:
\[
\boxed{100000000000000000000000000000000000000}
\]

Answer 3

Sure! The expression you provided is \( 10^{(2^3)} \cdot 10^{(3^3)} \).

Let's simplify it step by step:

1. Calculate the exponents:
- \( 2^3 = 8 \)
- \( 3^3 = 27 \)

2. Substitute these values into the expression:
\[
10^{8} \cdot 10^{27}
\]

3. Combine the exponents:
\[
10^{8 + 27} = 10^{35}
\]

So, the final result is \( 10^{35} \).

If you want to express this without the exponent, it is \( 100,000,000,000,000,000,000,000,000,000,000,000 \).

In short, the simplified result is:
\[
10^{35} \text{ or } 100,000,000,000,000,000,000,000,000,000,000,000
\]
Let me know if you need anything else!