Pre-Algebra Examples

Solve for n (7^9)/(7^n)=7^3
Step 1
Move to the numerator using the negative exponent rule .
Step 2
Use the power rule to combine exponents.
Step 3
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Step 4
Solve for .
Tap for more steps...
Step 4.1
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 4.1.1
Subtract from both sides of the equation.
Step 4.1.2
Subtract from .
Step 4.2
Divide each term in by and simplify.
Tap for more steps...
Step 4.2.1
Divide each term in by .
Step 4.2.2
Simplify the left side.
Tap for more steps...
Step 4.2.2.1
Dividing two negative values results in a positive value.
Step 4.2.2.2
Divide by .
Step 4.2.3
Simplify the right side.
Tap for more steps...
Step 4.2.3.1
Divide by .