Which of the following is an equivalent expression to 12(9−70)+(−29)0 ? (1 point)

Responses

12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1

12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0

12(9−1)+1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis plus 1

12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1

3 answers

The equivalent expression to 12(9−70)+(−29)0 is 12(9−0)+0.
Which of the following is an equivalent expression to 12(9−7^0)+(−29)^0 ? (1 point)
Responses

12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1

12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0

12(9−1)+1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis plus 1

12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
To simplify the expression 12(9−7^0)+(−29)^0, we need to evaluate the exponents first. Any number raised to the power of zero is equal to 1.

So, 7^0 = 1 and (-29)^0 = 1.

Now, the expression becomes:
12(9-1)+1

Simplifying further, we get:
12(8)+1

Finally, multiplying, we have:
96 + 1 = 97

Therefore, the equivalent expression is 97.