12^-5* 12^7
To simplify this expression, we can use the rule of exponents which states that when multiplying two powers with the same base, you can add their exponents.
12^-5 * 12^7 = 12^(-5+7)
= 12^2
= 144
To simplify the expression 12^(-5) * 12^7, we can use the rule of exponents which states that when multiplying powers with the same base, you add the exponents.
12^(-5) can be rewritten as 1/12^5 since a negative exponent indicates the reciprocal of the base raised to the positive exponent.
So, the expression becomes:
(1/12^5) * 12^7
Now, we can apply the rule and add the exponents:
= 1/12^(5 + 7)
= 1/12^12
Therefore, the simplified expression is 1/12^12.
To simplify the expression 12^-5 * 12^7, we can use the rule of exponents that states that when multiplying two numbers with the same base, we can add their exponents.
First, let's work with the base 12. We add the exponents -5 and 7:
-5 + 7 = 2
So, the simplified expression is written as 12^2.