The multiplier is 4 (3*4=12, 4*4=16), so 10*4 is 40, therefore the ratio is 10:40
Answer:
- Step 1, all the exponents are increased by 4
Step-by-step explanation:
<u>The three steps are</u>
- (x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ =
- x²×y⁸/y⁴×x⁸×x⁸×y² =
- x²×y⁸/y⁶×x¹⁶
<u>Correct solution should be:</u>
- (x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ = all powers inside the parenthesis should be multiplied by 4 as per power of the power (xᵃ)ᵇ = xᵃᵇ
<u>This would give next steps:</u>
- x⁻⁸×y¹⁶/y⁴×x⁸×x⁸×y⁻⁸ =
- x⁻⁸×y¹⁶/x¹⁶×y⁻⁴ =
- y²⁰/x²⁴
<u>Answer options:</u>
Step 1, all the exponents are increased by 4
- There should be multiplication of powers. (It is close option but is not fully correct as not all the exponents increased by 4, for example y became y⁴)
Step 2, the exponents of the same base are added during multiplication
Step 3 wasn't performed yet, there was step 1 and 2.
- So answers about step 3 are irrelevant
