Simplify 5^-1(3^-2)
A. 45
B. 1/45
C. 15^-3
D. 15^2
B
1/(5*9) = 1/45
To simplify 5^-1(3^-2), we need to apply the rules of exponents.
First, let's simplify 5^-1. The exponent -1 indicates that we need to take the reciprocal of 5. Therefore, 5^-1 is equal to 1/5.
Next, let's simplify 3^-2. The exponent -2 indicates that we need to take the reciprocal of 3 twice. Therefore, 3^-2 is equal to (1/3)^2, which simplifies to 1/9.
Now that we have simplified 5^-1 to 1/5 and 3^-2 to 1/9, we can multiply the two expressions:
1/5 * 1/9 = (1/5) * (1/9) = 1/45
Therefore, the simplified expression 5^-1(3^-2) is equal to 1/45.
So, the correct answer is B. 1/45.
To simplify the expression 5^-1(3^-2), we can use the rules of exponents.
First, let's simplify each value separately.
5^-1 means "the reciprocal of 5," which is 1/5 or 0.2.
3^-2 means "the reciprocal of 3 squared," which is 1/(3^2) or 1/9.
Now, multiply the simplified values together:
(1/5) * (1/9) = 1/45
Therefore, the simplified expression is 1/45.
So the correct answer is B. 1/45.