Apple the Property of Negative integer Exponents to generate an expression equivalent to 5^-9/4^-12 with positive exponent's only.
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.
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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 equivalent to 5^-9/4^-12 with positive exponents only, we can apply the property of negative exponents which states that a^(-n) = 1/a^n.
Firstly, let's rewrite the expression using this property:
5^-9/4^-12 = 1/5^9 * 1/4^(-12)
Next, we can use another property of exponents which states that a^(-n) = 1/(a^n). This property allows us to convert the negative exponent to a positive exponent.
So, we can rewrite the expression as:
1/(5^9 * 1/4^12)
Now, we can simplify the expression further by applying the property of exponents that states a^m * a^n = a^(m+n).
Therefore, we can simplify the expression as follows:
1/(5^9 * 4^(-12)) = 1/(5^9 * 4^-12) = 1/((5^9) * (4^12))
Now, the expression is equivalent to 1/((5^9) * (4^12)) with positive exponents only.
To solve this problem and express 5^-9/4^-12 with positive exponents only, we can use the property of negative integer exponents which states:
a^(-n) = 1/a^n
Now, let's apply this property to the given expression:
5^-9/4^-12
Using the property, we can rewrite the expression as:
(1/5^9)/(1/4^12)
Next, we can simplify this expression further. Dividing by a fraction is equivalent to multiplying by its reciprocal. Thus, we can rewrite the expression as:
(1/5^9)*(4^12/1)
Now, let's simplify each term separately:
1/5^9 = 5^(-9) = 1/(5^9)
4^12 = (2^2)^12 = 2^(2*12) = 2^24
Putting these simplified terms back into the expression, we have:
(1/(5^9))*(4^12/1)
= (1/(5^9))*(2^24)
Now, we have the expression in terms of positive exponents only!