Question

Use the Power Rule of Exponents to simplify the expression (788)6

Answer 1

The power rule of exponents states that when raising a power to another power, you multiply the exponents.

So, using the power rule of exponents, we can simplify the expression (788)^6 as follows:

(788)^6 = 7^(8*6)8^(8*6)8^(8*6)

Now, we can simplify the exponents:

(788)^6 = 7^(48)8^(48)8^(48)

Therefore, the expression (788)^6 simplifies to 7^(48)8^(48)8^(48).

Answer 2

Use the Power Rule of Exponents to simplify the expression (788)6.(1 point)

Answer 3

The power rule of exponents states that when raising a power to another power, you multiply the exponents.

So, using the power rule of exponents, we can simplify the expression (788)^6 as follows:

(788)^6 = 7^6 * 8^6 * 8^6

Now, we can simplify the exponents:

(788)^6 = 7^6 * (8 * 8)^6

(788)^6 = 7^6 * 64^6

Therefore, the expression (788)^6 simplifies to 7^6 * 64^6.

Answer 4

What exponent would make the two expressions equivalent: (16x)6=(1618)?(1 point)

Answer 5

To determine the exponent that would make the two expressions equivalent, we can equate the bases and solve for the exponent.

We have (16x)^6 = (16)^18.

To make the bases equal, we set the exponents equal to each other:

6 = 18.

This equation is not true, so there is no exponent that would make the two expressions equivalent.