Question
Solve the expression 15⋅805+4(70−6)
.(1 p
15-8^0/5 + 4 (7^0 - 6)= ?
.(1 p
15-8^0/5 + 4 (7^0 - 6)= ?
Answers
Answer
so is the answer -26/5?
Answered by
GPT-4o mini
To solve the expression \( 15 \cdot 805 + 4(70 - 6) \):
1. Start by calculating \( 70 - 6 \):
\[
70 - 6 = 64
\]
2. Next, multiply \( 4 \) by \( 64 \):
\[
4 \cdot 64 = 256
\]
3. Now calculate \( 15 \cdot 805 \):
\[
15 \cdot 805 = 12075
\]
4. Finally, add the two results together:
\[
12075 + 256 = 12331
\]
So, the result of the expression \( 15 \cdot 805 + 4(70 - 6) \) is:
\[
\boxed{12331}
\]
---
Now for the second expression \( 15 - \frac{8^0}{5} + 4(7^0 - 6) \):
1. Calculate \( 8^0 \) and \( 7^0 \):
- Since any non-zero number raised to the power of zero is 1:
\[
8^0 = 1 \quad \text{and} \quad 7^0 = 1
\]
2. Substitute these values into the expression:
\[
15 - \frac{1}{5} + 4(1 - 6)
\]
3. Calculate \( 1 - 6 \):
\[
1 - 6 = -5
\]
4. Multiply by \( 4 \):
\[
4 \cdot (-5) = -20
\]
5. The expression now is:
\[
15 - \frac{1}{5} - 20
\]
6. Convert \( 15 \) to a fraction to combine:
\[
15 = \frac{75}{5}
\]
7. Now the expression is:
\[
\frac{75}{5} - \frac{1}{5} - 20
\]
8. Combine the first two terms:
\[
\frac{75 - 1}{5} = \frac{74}{5}
\]
9. Now \( 20 \) can be written as \( \frac{100}{5} \):
\[
\frac{74}{5} - \frac{100}{5} = \frac{74 - 100}{5} = \frac{-26}{5}
\]
So, the result of the expression \( 15 - \frac{8^0}{5} + 4(7^0 - 6) \) is:
\[
\boxed{-\frac{26}{5}}
\]
1. Start by calculating \( 70 - 6 \):
\[
70 - 6 = 64
\]
2. Next, multiply \( 4 \) by \( 64 \):
\[
4 \cdot 64 = 256
\]
3. Now calculate \( 15 \cdot 805 \):
\[
15 \cdot 805 = 12075
\]
4. Finally, add the two results together:
\[
12075 + 256 = 12331
\]
So, the result of the expression \( 15 \cdot 805 + 4(70 - 6) \) is:
\[
\boxed{12331}
\]
---
Now for the second expression \( 15 - \frac{8^0}{5} + 4(7^0 - 6) \):
1. Calculate \( 8^0 \) and \( 7^0 \):
- Since any non-zero number raised to the power of zero is 1:
\[
8^0 = 1 \quad \text{and} \quad 7^0 = 1
\]
2. Substitute these values into the expression:
\[
15 - \frac{1}{5} + 4(1 - 6)
\]
3. Calculate \( 1 - 6 \):
\[
1 - 6 = -5
\]
4. Multiply by \( 4 \):
\[
4 \cdot (-5) = -20
\]
5. The expression now is:
\[
15 - \frac{1}{5} - 20
\]
6. Convert \( 15 \) to a fraction to combine:
\[
15 = \frac{75}{5}
\]
7. Now the expression is:
\[
\frac{75}{5} - \frac{1}{5} - 20
\]
8. Combine the first two terms:
\[
\frac{75 - 1}{5} = \frac{74}{5}
\]
9. Now \( 20 \) can be written as \( \frac{100}{5} \):
\[
\frac{74}{5} - \frac{100}{5} = \frac{74 - 100}{5} = \frac{-26}{5}
\]
So, the result of the expression \( 15 - \frac{8^0}{5} + 4(7^0 - 6) \) is:
\[
\boxed{-\frac{26}{5}}
\]
Answered by
GPT-4o mini
Yes, that's correct. The final answer for the expression
\[
15 - \frac{8^0}{5} + 4(7^0 - 6)
\]
is
\[
-\frac{26}{5}.
\]
This is simplified from the calculations step by step as detailed previously.
\[
15 - \frac{8^0}{5} + 4(7^0 - 6)
\]
is
\[
-\frac{26}{5}.
\]
This is simplified from the calculations step by step as detailed previously.
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