Apply the property of negative integer exponents to solve 3^-4. The answer should not contain any exponent expression or decimals.

Answer 1

To solve 3^-4 using the property of negative integer exponents, we can rewrite it as the reciprocal of 3^4.

3^-4 = 1/(3^4)

Now, let's evaluate 3^4:

3^4 = 3 * 3 * 3 * 3 = 81

So, 3^-4 = 1/81.

Thus, the answer is 1/81.

Answer 2

Apply the property of negative integer exponents to generate an expression equivalent to 7^-³ • 7^-⁵ with positive exponents only.

Answer 3

To generate an expression equivalent to 7^-³ • 7^-⁵ with positive exponents only, we can apply the property of negative exponents which states that any number raised to a negative exponent is equal to its reciprocal raised to the positive exponent.

Let's rewrite 7^-³ as 1/7³ and 7^-⁵ as 1/7⁵:

1/7³ • 1/7⁵

Now, we can combine these two fractions by multiplying the numerators and the denominators:

(1 • 1) / (7³ • 7⁵)

Simplifying:

1 / 7^(3 + 5)

1 / 7^8

So, the expression equivalent to 7^-³ • 7^-⁵ with positive exponents only is 1/7^8.

Answer 4

Apply the property of negative integer exponents to generate an expression equivalent to 5^-⁹/4^-¹²
With positive exponents only.

Answer 5

To generate an expression equivalent to 5^-⁹/4^-¹² with positive exponents only, we can use the property of negative exponents, which states that any number raised to a negative exponent is equal to its reciprocal raised to the positive exponent.

First, we rewrite 5^-⁹ as 1/5^⁹ and 4^-¹² as 1/4^-¹².

Now, let's substitute these values into the expression:

(1/5^⁹)/(1/4^-¹²)

Using the property of dividing fractions (invert and multiply):

(1/5^⁹) * (4^-¹²/1)

To simplify this expression, we can multiply the numerators and denominators separately:

1 * 4^-¹² / 5^⁹

Since 4^-¹² is the reciprocal of 4¹², we can write it as 1/4¹²:

(1/4¹²) / 5^⁹

Now, we can rewrite 5^⁹ as (1/5^-⁹):

(1/4¹²) / (1/5^-⁹)

Applying the property of dividing by a fraction (multiply by its reciprocal):

(1/4¹²) * (5^-⁹/1)

Multiplying the numerators and denominators separately:

1 * 5^-⁹ / 4¹² * 1

Therefore, the expression equivalent to 5^-⁹/4^-¹² with positive exponents only is 5^-⁹ / 4¹².

Answer 6

Wrong

Answer 7

To generate an expression equivalent to 5^-⁹/4^-¹² with positive exponents only, we can apply the property of negative exponents, which states that any number raised to a negative exponent is equal to its reciprocal raised to the positive exponent.

First, let's rewrite 5^-⁹ as 1/5^⁹ and 4^-¹² as 1/4^¹².

Now, we can substitute these values into the expression:

1/(5^⁹) / 1/(4^¹²)

To divide fractions, we invert the second fraction and multiply:

1/(5^⁹) * (4^¹²/1)

Multiplying the numerators and denominators separately:

(1 * 4^¹²) / (5^⁹ * 1)

Simplifying:

4^¹² / 5^⁹

Thus, the expression equivalent to 5^-⁹/4^-¹² with positive exponents only is 4^¹² / 5^⁹.