Consider the expressions ab^2 and a^2b^2. are the two expressions equivalent? which properties did you use to prove or disprove?

Following order of operations rules (PEMDAS) helps immeasurably with the decision making here.

ab^2 definitely means a*b^2; exponentiation takes place before multiplication.

a^2b^2 could be written as a^2*b^2; find these squares first and then multiply the two squares together.

The two expressions are not equivalent.

They are not equal based on some properties in indices

Step-by-step explanation:

Considering both expressions

ab² and a²b², this two expressions are not the same. It can be seen that in ab², only the b variable was squared but not a but in a²b², both variables a and b were squared.

In indices,

ab² ,= a×b²

a²b² = (ab)² = a² × b²

a×b² is therefore not equal to a²×b² based on the law of indices.

For example if a = 2 and b=

ab² = a × b² = 2 × 2²

= 2×4

= 8

a²b² = a²×b² = 2²×3²

= 4×9

= 36

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

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step-by-step explanation: