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Answer :
Sure! Let's break down each of the given expressions step-by-step:
1. Expression 1: [tex]\(1.17^2 \times 7^3\)[/tex]
- First, calculate [tex]\(1.17^2\)[/tex]. This means multiplying 1.17 by itself, leading to a value around 1.3689.
- Next, calculate [tex]\(7^3\)[/tex], which means 7 times 7 times 7, resulting in 343.
- Lastly, multiply the results: [tex]\(1.3689 \times 343\)[/tex]. This gives approximately 469.53.
2. Expression 2: [tex]\(1.29^5\)[/tex]
- Calculate [tex]\(1.29^5\)[/tex] by multiplying 1.29 by itself five times.
- This results in a value close to 3.57.
3. Expression 3: [tex]\(1.3 \times (x^6) \times (x^9)\)[/tex]
- Combine the powers of [tex]\(x\)[/tex]: [tex]\(x^6 \times x^9 = x^{6+9} = x^{15}\)[/tex].
- Here, the coefficient 1.3 is multiplied by [tex]\(x^{15}\)[/tex]. If you're evaluating numerically with a given value for [tex]\(x\)[/tex], say [tex]\(x=1\)[/tex], then the result simplifies simply to 1.3.
4. Expression 4: [tex]\(1.4 \frac{1}{8}\)[/tex]
- This represents adding 1.4 and [tex]\(\frac{1}{8}\)[/tex].
- Convert [tex]\(\frac{1}{8}\)[/tex] to a decimal, which is 0.125.
- Add them: [tex]\(1.4 + 0.125 = 1.525\)[/tex].
So, the calculated results are approximately:
- For the first expression: 469.53
- For the second expression: 3.57
- For the third expression: 1.3 (when [tex]\(x = 1\)[/tex])
- For the fourth expression: 1.525
I hope this helps make things clearer!
1. Expression 1: [tex]\(1.17^2 \times 7^3\)[/tex]
- First, calculate [tex]\(1.17^2\)[/tex]. This means multiplying 1.17 by itself, leading to a value around 1.3689.
- Next, calculate [tex]\(7^3\)[/tex], which means 7 times 7 times 7, resulting in 343.
- Lastly, multiply the results: [tex]\(1.3689 \times 343\)[/tex]. This gives approximately 469.53.
2. Expression 2: [tex]\(1.29^5\)[/tex]
- Calculate [tex]\(1.29^5\)[/tex] by multiplying 1.29 by itself five times.
- This results in a value close to 3.57.
3. Expression 3: [tex]\(1.3 \times (x^6) \times (x^9)\)[/tex]
- Combine the powers of [tex]\(x\)[/tex]: [tex]\(x^6 \times x^9 = x^{6+9} = x^{15}\)[/tex].
- Here, the coefficient 1.3 is multiplied by [tex]\(x^{15}\)[/tex]. If you're evaluating numerically with a given value for [tex]\(x\)[/tex], say [tex]\(x=1\)[/tex], then the result simplifies simply to 1.3.
4. Expression 4: [tex]\(1.4 \frac{1}{8}\)[/tex]
- This represents adding 1.4 and [tex]\(\frac{1}{8}\)[/tex].
- Convert [tex]\(\frac{1}{8}\)[/tex] to a decimal, which is 0.125.
- Add them: [tex]\(1.4 + 0.125 = 1.525\)[/tex].
So, the calculated results are approximately:
- For the first expression: 469.53
- For the second expression: 3.57
- For the third expression: 1.3 (when [tex]\(x = 1\)[/tex])
- For the fourth expression: 1.525
I hope this helps make things clearer!
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