In evaluating a rational algebraic expression, you need to replace the variable with the given value. What will be the result when a and b are replaced by 2 and -1, respectively, in the expression 5a²b?
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Answer:
b. -
[tex] - \: \: 5 \\ \: \: \: \: \: 16[/tex]
Step-by-step explanation:
The given values are: a = 2 and b = -1.
Substitute the given values to the given expression (-5a^-2b)(-2a^-3b^2).
(-5a^-2b)(-2a^-3b^2)
=(-5)(-1)(-2) Simplify first the number with exponents and parentheses applying the rule of PEMDAS (Parenthesis-Exponent, Multiplication-Division, Addition-Subtraction)
=(-5)((-1)(-2)(1) Applying the Law on Negative Exponent
=(-5)((-1)(-2)(1) Simplifying exponents
=
= Reduce it to lowest terms by dividing both the numerator and denominator by 2.
=-
[tex] \: - \: 5\\ \: \: \: \: 16 [/tex]