Question
Solve the equation
t1=−36,t2=36
Alternative Form
t1≈−0.816497,t2≈0.816497
Evaluate
64=9t3×t×16
Multiply
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Evaluate
9t3×t×16
Multiply the terms
144t3×t
Multiply the terms with the same base by adding their exponents
144t3+1
Add the numbers
144t4
64=144t4
Swap the sides of the equation
144t4=64
Divide both sides
144144t4=14464
Divide the numbers
t4=14464
Cancel out the common factor 16
t4=94
Take the root of both sides of the equation and remember to use both positive and negative roots
t=±494
Simplify the expression
More Steps

Evaluate
494
To take a root of a fraction,take the root of the numerator and denominator separately
4944
Simplify the radical expression
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Evaluate
44
Write the number in exponential form with the base of 2
422
Reduce the index of the radical and exponent with 2
2
492
Simplify the radical expression
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Evaluate
49
Write the number in exponential form with the base of 3
432
Reduce the index of the radical and exponent with 2
3
32
Multiply by the Conjugate
3×32×3
Multiply the numbers
More Steps

Evaluate
2×3
The product of roots with the same index is equal to the root of the product
2×3
Calculate the product
6
3×36
When a square root of an expression is multiplied by itself,the result is that expression
36
t=±36
Separate the equation into 2 possible cases
t=36t=−36
Solution
t1=−36,t2=36
Alternative Form
t1≈−0.816497,t2≈0.816497
Show Solution
