Trigonometry Examples

Evaluate 2(64)^(-1/2)+64^(-2/3)
Step 1
Simplify each term.
Tap for more steps...
Step 1.1
Rewrite the expression using the negative exponent rule .
Step 1.2
Simplify the denominator.
Tap for more steps...
Step 1.2.1
Rewrite as .
Step 1.2.2
Apply the power rule and multiply exponents, .
Step 1.2.3
Cancel the common factor of .
Tap for more steps...
Step 1.2.3.1
Cancel the common factor.
Step 1.2.3.2
Rewrite the expression.
Step 1.2.4
Evaluate the exponent.
Step 1.3
Cancel the common factor of .
Tap for more steps...
Step 1.3.1
Factor out of .
Step 1.3.2
Cancel the common factor.
Step 1.3.3
Rewrite the expression.
Step 1.4
Rewrite the expression using the negative exponent rule .
Step 1.5
Simplify the denominator.
Tap for more steps...
Step 1.5.1
Rewrite as .
Step 1.5.2
Apply the power rule and multiply exponents, .
Step 1.5.3
Cancel the common factor of .
Tap for more steps...
Step 1.5.3.1
Cancel the common factor.
Step 1.5.3.2
Rewrite the expression.
Step 1.5.4
Raise to the power of .
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 3.1
Multiply by .
Step 3.2
Multiply by .
Step 4
Combine the numerators over the common denominator.
Step 5
Add and .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: