Negative Integer Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9 4^−12 with positive exponents only.(1 point)
To generate an expression with positive exponents only, we can use the property that states:
a^(-b) = 1/a^b
Applying this property to 5^(-9) and 4^(-12), we get:
5^(-9) = 1/5^9
4^(-12) = 1/4^12
Substituting these values back into the original expression, we have:
5^(-9) 4^(-12) = (1/5^9) (1/4^12)
To simplify further, we can multiply the numerators and multiply the denominators:
(1/5^9) (1/4^12) = 1/(5^9 * 4^12)
Therefore, the expression equivalent to 5^(-9) 4^(-12) with positive exponents only is:
1/(5^9 * 4^12)
To apply the property of negative integer exponents and generate an expression equivalent to 5^(-9) 4^(-12) with positive exponents only, we can use the reciprocal property of exponents.
The reciprocal property states that a number raised to a negative exponent is equal to the reciprocal of the number raised to the positive exponent.
First, let's rewrite the given expression with positive exponents:
5^(-9) 4^(-12) = 1/5^9 * 1/4^12
Next, we can apply the reciprocal property to each base:
1/5^9 * 1/4^12 = 1/(5^9 * 4^12)
Therefore, an expression equivalent to 5^(-9) 4^(-12) with positive exponents only is 1/(5^9 * 4^12).