bot Use the Product Rule of Exponents to simplify the expression 75 ⋅72.

Answer 1

The Product Rule of Exponents states that for any real numbers a and b and any integers m and n,

a^m * a^n = a^(m+n)

Using this rule, we can simplify the expression 75 * 72 as follows:

75 * 72 = (5^2) * (2^3) * (2^2)
= 5^(2+0) * 2^(3+2)
= 5^2 * 2^5
= 25 * 32
= 800

So, 75 * 72 simplifies to 800.

Answer 2

Find the numerical equivalent of 72⋅73

Answer 3

To find the numerical equivalent of 72⋅73, we simply multiply the two numbers together:

72⋅73 = 5256

Therefore, the numerical equivalent of 72⋅73 is 5256.

Answer 4

wrong try again

Answer 5

Apologies for the incorrect response.

The correct numerical equivalent of 72⋅73 is 5,256.

Answer 6

Find the numerical equivalent of 39⋅3−5

Answer 7

To find the numerical equivalent of 39⋅3^(-5), we first calculate the value of 3^(-5), which is equal to 1/3^5 = 1/243.

Then, we multiply this result by 39:
39⋅3^(-5) = 39 * (1/243)
= 39/243
≈ 0.1605

Therefore, the numerical equivalent of 39⋅3^(-5) is approximately 0.1605.