Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) .(2 points)

Question

9⋅(−33)^0+3/2(8−27^0) = (blank)x(black)+3/2(blank)-(blank)
fill in the blanks

Answer 1

Applying the Zero Power Rule, any number (except 0) raised to the power of 0 is equal to 1.

Therefore, (-33)^0 = 1 and 27^0 = 1

Substituting these values into the given expression, we get:
9⋅1 + 3/2(8 - 1) = (blank)x(black) + 3/2(blank) - (blank)

Simplifying further:
9 + 3/2(7) = (blank)x(black) + 3/2(8 - 1) - (blank)

9 + 21/2 = (blank)x(black) + 3/2(8 - 1) - (blank)

9 + 10.5 = (blank)x(black) + 3/2(8 - 1) - (blank)

19.5 = (blank)x(black) + (blank)

So, the equivalent expression is 19.5 = (blank)x(black) + (blank)