To rewrite the expression 5^-9/4^-12 with positive exponents only, we can use the property of negative exponents which states that a^(-n) is equal to 1/a^n.
So, applying this property to the given expression, we have:
5^-9/4^-12 = 1/5^9 * 1/4^(-12)
Now, let's use another property of exponents: (a^m)^n = a^(m*n). We can apply this property to the denominator expression, 1/4^(-12), to eliminate the negative exponent:
1/4^(-12) = (1/4^(-1))^12 = (4^1)^12 = 4^(12*1) = 4^12
Now, substitute these values back into the original expression:
1/5^9 * 1/4^(-12) = 1/5^9 * 4^12
Therefore, the expression with positive exponents only that is equivalent to 5^-9/4^-12 is 1/5^9 * 4^12.
Apple the Property of Negative integer Exponents to generate an expression equivalent to 5^-9/4^-12 with positive exponent's only.
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To rewrite the expression 5^-9/4^-12 with positive exponents only, we can use the property of negative exponents which states that a^(-n) is equal to 1/a^n.
Applying this property to the given expression, we have:
5^-9/4^-12 = 1/5^9 * 1/4^-12
Now, let's simplify the denominators by using another property of exponents: 1/a^-n = a^n.
Applying this to our expression, we have:
1/5^9 * 1/4^-12 = 1/5^9 * 4^12
Now, we can rewrite 4^12 as (2^2)^12 = 2^(2*12) = 2^24.
Substituting this back into our expression:
1/5^9 * 4^12 = 1/5^9 * 2^24
Therefore, the expression with positive exponents only that is equivalent to 5^-9/4^-12 is 1/5^9 * 2^24.
To rewrite the expression 5^-9/4^-12 with positive exponents only, we can use the property of negative exponents which states that a^(-n) is equal to 1/a^n.
Applying this property to the given expression, we have:
5^-9/4^-12 = 1/5^9 * 1/4^-12
Now, let's simplify the denominators by using another property of exponents: 1/a^-n = a^n.
Applying this to our expression, we have:
1/5^9 * 1/4^-12 = 1/5^9 * 4^12
Now, we can rewrite 4^12 as (2^2)^12 = 2^(2*12) = 2^24.
Substituting this back into our expression:
1/5^9 * 4^12 = 1/5^9 * 2^24
Therefore, the expression with positive exponents only that is equivalent to 5^-9/4^-12 is 1/5^9 * 2^24.