To simplify the given expression, follow these steps:

1. First, simplify the denominator (2d^2)^3. When you raise a power to a power, you multiply the exponents. So, (2^3)(d^2*3) = 8d^6.

2. Now, the expression is 6d^8 / 8d^6.

3. Divide the coefficients (numbers) and subtract the exponents of 'd'. 6/8 simplifies to 3/4, and 8 - 6 = 2.

4. So, the simplified expression is (3/4)d^2.

Question

To simplify the given expression, follow these steps:

1. First, simplify the denominator (2d^2)^3. When you raise a power to a power, you multiply the exponents. So, (2^3)(d^2*3) = 8d^6.

2. Now, the expression is 6d^8 / 8d^6.

3. Divide the coefficients (numbers) and subtract the exponents of 'd'. 6/8 simplifies to 3/4, and 8 - 6 = 2.

4. So, the simplified expression is (3/4)d^2.

Knowee AI · Accepted Answer

To simplify the given expression, follow these steps:

1. First, simplify the denominator (2d^2)^3. When you raise a power to a power, you multiply the exponents. So, (2^3)(d^2*3) = 8d^6.

2. Now, the expression is 6d^8 / 8d^6.

3. Divide the coefficients (numbers) and subtract the exponents of 'd'. 6/8 simplifies to 3/4, and 8 - 6 = 2.

4. So, the simplified expression is (3/4)d^2.

Express the following fraction in simplest form using only positive exponents.start fraction, 6, d, to the power 8 , divided by, left bracket, 2, d, squared, right bracket, cubed, end fraction(2d 2 ) 3 6d 8