Question
Simplify the expression
9−7b10
Evaluate
9−7b5×b4×b
Solution
More Steps

Evaluate
7b5×b4×b
Multiply the terms with the same base by adding their exponents
7b5+4+1
Add the numbers
7b10
9−7b10
Show Solution

Find the roots
b1=−7109×79,b2=7109×79
Alternative Form
b1≈−1.02545,b2≈1.02545
Evaluate
9−7b5×b4×b
To find the roots of the expression,set the expression equal to 0
9−7b5×b4×b=0
Multiply
More Steps

Multiply the terms
7b5×b4×b
Multiply the terms with the same base by adding their exponents
7b5+4+1
Add the numbers
7b10
9−7b10=0
Move the constant to the right-hand side and change its sign
−7b10=0−9
Removing 0 doesn't change the value,so remove it from the expression
−7b10=−9
Change the signs on both sides of the equation
7b10=9
Divide both sides
77b10=79
Divide the numbers
b10=79
Take the root of both sides of the equation and remember to use both positive and negative roots
b=±1079
Simplify the expression
More Steps

Evaluate
1079
To take a root of a fraction,take the root of the numerator and denominator separately
107109
Simplify the radical expression
More Steps

Evaluate
109
Write the number in exponential form with the base of 3
1032
Reduce the index of the radical and exponent with 2
53
10753
Multiply by the Conjugate
107×107953×1079
Multiply the numbers
More Steps

Evaluate
53×1079
Use na=mnam to expand the expression
1032×1079
The product of roots with the same index is equal to the root of the product
1032×79
Calculate the product
109×79
107×1079109×79
Multiply the numbers
More Steps

Evaluate
107×1079
The product of roots with the same index is equal to the root of the product
107×79
Calculate the product
10710
Reduce the index of the radical and exponent with 10
7
7109×79
b=±7109×79
Separate the equation into 2 possible cases
b=7109×79b=−7109×79
Solution
b1=−7109×79,b2=7109×79
Alternative Form
b1≈−1.02545,b2≈1.02545
Show Solution
