Apple the Property of Negative integer Exponents to generate an expression equivalent to 5^-9/4^-12 with positive exponent's only.

Answer 1

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.

Answer 2

thats wrong bot

Answer 3

Apologies for the mistake. Let's correct it.

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.