Find the numerical equivalent of 2 to the 5th power times 2 to -2nd power

To find the numerical equivalent of 2 to the 5th power times 2 to the -2nd power, you can use the rule of exponents that states "when multiplying numbers with the same base, add their exponents."

So, 2^5 times 2^-2 becomes 2^(5 + (-2)) which simplifies to 2^3.

Therefore, the numerical equivalent of 2 to the 5th power times 2 to the -2nd power is 2^3 which equals 8.

To find the numerical equivalent of 2 to the 5th power times 2 to the -2nd power, we need to apply the exponent laws. According to the laws of exponents, when multiplying the same base with different exponents, you can simply add the exponents together.

So, 2 to the 5th power can be written as 2^5, and 2 to the -2nd power can be written as 2^-2.

Applying the exponent law, 2^5 times 2^-2 equals 2^(5+(-2)).

Adding the exponents gives us 2^3.

Therefore, the numerical equivalent of 2 to the 5th power times 2 to the -2nd power is 2^3, which is equal to 8.