bot Use the Product Rule of Exponents to simplify the expression 75 ⋅72.
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.
Find the numerical equivalent of 72⋅73
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.
wrong try again
Apologies for the incorrect response.
The correct numerical equivalent of 72⋅73 is 5,256.
Find the numerical equivalent of 39⋅3−5
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.