When we expand exponents, we simply repeat the base by the exponential value.

Therefore:

When dealing with exponential equations, we want to make sure the bases are the same. This way we can set-up an equation with the exponents.

With the same base, we can now write

Subtract on both sides.

Combine all like variables. We only have the variable 'x', so we can skip that step. to multiply or divide exponents, you add, so you get 3 + (-4) + 7 = 6. The answer is

To expand the exponent, we multiply the base by the power it is being raised to.

When we add exponents, we try to factor to see if we can simplify it. Let's factor . We get . Remember to apply the rule of multiplying exponents which is to add the exponents and keeping the base the same.

With the same base, we can rewrite as .

To expand the exponent, we multiply the base by whatever the exponent is.

When dealing with fractional exponents, remember this form:

is the index of the radical which is also the denominator of the fraction, represents the base of the exponent, and is the power the base is raised to. That value is the numerator of the fraction.

When dividing exponents with the same base, we just subtract the exponents.

When solving exponential equations, we need to ensure that we have the same base. When that happens, our equations our based on the exponents.

With the same base, we can now write

Add and subtract on both sides.

The bases of the exponents are common. This means we can add the fractions.

The least common denominator is six.

This becomes the power of the exponent.

Break up the fraction in terms so that each can be reduced.

Since we do not know term , it can be rewritten in base two, and .

Rewrite this term as a replacement of , and multiply the power of the exponent in base two with the power of the exponent in base eight.

Simplify the terms. A value to the power of one-half is the square root of that number.

The answer is: