Answered

Explore a wide range of topics and get answers from experts on IDNLearn.com. Ask any question and receive timely, accurate responses from our dedicated community of experts.

1. Simplify the following expressions:

[tex]\[
\begin{array}{l}
a) \ (0.5) \times (0.5) \times (0.5) \times (0.5) \\
b) \ (-6) \times (-6) \times (-6) \\
c) \ 7 \times 7 \times 7 \times 7 \times 9 \times a \\
d) \ -(5 \times 5 \times 5)
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
Sure, let's work through the problem step-by-step.

### Step 1: Calculate [tex]\( a \)[/tex]
We need to multiply 0.5 by itself four times.

[tex]\[ a = 0.5 \times 0.5 \times 0.5 \times 0.5 = 0.0625 \][/tex]

### Step 2: Calculate [tex]\( B \)[/tex]
We need to multiply -6 by itself three times.

[tex]\[ B = (-6) \times (-6) \times (-6) = -216 \][/tex]

Note: Multiplying three negative factors yields a negative result.

### Step 3: Calculate [tex]\( c \)[/tex]
We need to multiply 7 by itself four times, multiply the result by 9, and then multiply the final result by [tex]\( a \)[/tex].

[tex]\[ c = 7 \times 7 \times 7 \times 7 \times 9 \times a = 1350.5625 \][/tex]

### Step 4: Calculate [tex]\( d \)[/tex]
We need to calculate the negative of 5 raised to the power of three.

[tex]\[ d = -1 \times (5 \times 5 \times 5) = -125 \][/tex]

Putting it all together, we have:
[tex]\[ a = 0.0625, \quad B = -216, \quad c = 1350.5625, \quad d = -125 \][/tex]

This gives us the final results:
[tex]\[ (a, B, c, d) = (0.0625, -216, 1350.5625, -125) \][/tex]
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.