<u>Part a)</u>
Given the expression

Apply exponent rule: 
∵ 
Rewrite 81 as 3 · 27
Rewrite 54 as 2 · 27

Factor out the common term: 27m³n
Therefore,

<u>Part B)</u>
Given the expression

Apply exponent rule: 

Rewrite as

Factor out common term 5y²x²z

Therefore,

Answer:
Step-by-step explanation:
(b+8)≤18
Answer:
8.5.28492 cm/s
Step-by-step explanation:
We are given that
Radius of circular planter=11.7 cm
Time taken by bug =13.91 s
We have to find the speed of bug.
We know that
Speed =
Distance traveled by bug =
Distance traveled by bug =
Because 
Speed of bug=
Hence, speed of bug=5.2822 4 cm/s
Answer:8.5.28492 cm/s
Answer:
-6 3/8 < -7/8
Step-by-step explanation:
Answer:
-6 3/8 < -7/8
Showing Work
Using the given inputs:
-6 3/8 -7/8
Rewriting these inputs as improper fractions:
-51/8 and -7/8
Since we have like denominators we compare the inputs by the numerators:
Therefore, comparison shows:
-6 3/8 < -7/8
Answer:
For the yes/no bit:
step 1: no
step 2: no
step 3: yes
step 4: yes
step 5: no
for the final answer bit: a = 2 3/5 (the last option)
Step-by-step explanation:
yes/no bit:
step 1 is wrong because she didn't multiply
by -2
step 2 is wrong because she subtracted 1/2 instead of adding it
step 3 is correct because 6 - 1/2 = 11/2
step 4 is correct because she correctly multiplied both sides by 4
step 5 is wrong because she added 5 instead of dividing by -5.
for the final answer bit, I've attached an image below with my working out. hope this helps!