Answer:
A number sequence is a list of numbers that are linked by a rule. If you work out the rule, you can work out the next numbers in the sequence. In this example, the difference between each number is 6. So the rule for this sequence is to add 6 each time. So now you can work it out the next number. 27 + 6 = 33.
Answer:
9 1/6
Step-by-step explanation:
multiplication of fractions
your 5 = 5/1
hence it will be 5/1 x 11/6 = 55/6
55 divided by 6 will be equal to 9 with one remainder
so your answer will be 9 1/6
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