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

Answer 1

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 2

can you not make it crazy looking.

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!