SIMPLIFYING EXPRESSIONS
Remember:
- a^b/c = c√a^b
- To simplify algebraic expressions make sure that there is no negative exponents and it is in simpliest form.
- exponent that is raised to another exponent can be solved by multiplication.
Given:
First multiply the exponents:
25¹ = 1 x -3/2
= -3/2
b^6 = 6 x -3/2
= 3 x -3 = -9
Now, If there is a negative exponent it will be placed in the denominator or numerator (to its reciprocal)
Example:
- a^-1 = 1/a
- b^2 c^-3 = b²/c³
Back to the expression:
- 25^-3/2 • b^-9
- 1 / 25^3/2 b^9
25^3/2 = 2√25³
= √15625
= 125
FINAL ANSWER
[tex] \: \: \: \: \: \: \: \: \: \: \tt \: { \green {\boxed { \frac{1}{125b^{9} } }}}[/tex]
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