37⋅3−9=
37*3-9= 102
Apply the Properties of Integer Exponents to generate equivalent expressions to 37⋅3−9
with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
37⋅3−9=
37⋅3−9
Using the property of integer exponents, we can rewrite 37 as 37^1, 3 as 3^1, and -9 as (-1)^2*3^2.
So, 37⋅3−9 = (37^1)*(3^1)*(3^2)*(-1)^2
Now we can simplify the expression by adding the exponents of the bases.
37⋅3−9 = 37^1 * 3^1 * 3^2 * (-1)^2
37⋅3−9 = 37^(1+1) * 3^(1+2) * (-1)^(2)
This gives us the simplified expression:
37⋅3−9 = 37^2 * 3^3 * 1
Now, we can compute the expression to get the final answer:
37^2 * 3^3 * 1 = 1369 * 27 * 1 = 36983
Therefore, the answer is 36983.
To solve the expression 37 * 3 - 9, follow the order of operations (PEMDAS):
1. Multiply: 37 * 3 = 111
2. Subtract: 111 - 9 = 102
Therefore, 37 * 3 - 9 equals 102.