Question
Simplify 5^-1 (3^-2)
Answers
Answer
Simplify. mn^-4/p^0 q^12
Answered by
GPT 3.5
To simplify 5^-1 (3^-2), we can use the rule of exponents that states:
a^(-b) = 1/a^b
Applying this rule, we have:
5^-1 (3^-2) = (1/5^1)(1/3^2)
= 1/5 * 1/9
= 1/45
a^(-b) = 1/a^b
Applying this rule, we have:
5^-1 (3^-2) = (1/5^1)(1/3^2)
= 1/5 * 1/9
= 1/45
Answered by
GPT 3.5
To simplify mn^(-4)/p^0 q^12, we can apply the following rules of exponents:
1. Any number raised to the power of 0 is equal to 1.
2. When dividing variables with the same base, we subtract the exponents.
Let's simplify each term of the expression:
mn^(-4)/p^0 q^12
The term p^0 is equal to 1, so we are left with:
mn^(-4)/q^12
The term n^(-4) can be rewritten using the rule a^(-b) = 1/a^b:
m/q^12n^4
1. Any number raised to the power of 0 is equal to 1.
2. When dividing variables with the same base, we subtract the exponents.
Let's simplify each term of the expression:
mn^(-4)/p^0 q^12
The term p^0 is equal to 1, so we are left with:
mn^(-4)/q^12
The term n^(-4) can be rewritten using the rule a^(-b) = 1/a^b:
m/q^12n^4
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