To simplify the expression \(3 \times 10 \times 10 \times 10 \times 10 / (8 \times 10)\), we can follow these steps: 1. First rewrite the expression for clarity: \[ \frac{3 \times 10^4}{8 \times 10} \] 2. Now, simplify the denominator: \[ 8 \times 10 = 8 \times 10^1 \] 3. Substitute this back into the expression: \[ \frac{3 \times 10^4}{8 \times 10^1} \] 4. Simplify the fraction: \[ = \frac{3}{8} \times \frac{10^4}{10^1} \] 5. Use the laws of exponents to simplify \( \frac{10^4}{10^1} \): \[ \frac{10^4}{10^1} = 10^{4-1} = 10^3 \] 6. Now combine the results: \[ = \frac{3}{8} \times 10^3 \] \[ = \frac{3 \times 1000}{8} \] \[ = \frac{3000}{8} \] 7. Finally, divide: \[ 3000 ÷ 8 = 375 \] Thus, the result of the original expression \(3 \times 10 \times 10 \times 10 \times 10 / (8 \times 10)\) is \(375\).

3x 10x10x10x10/8x10

1 answer

To simplify the expression \(3 \times 10 \times 10 \times 10 \times 10 / (8 \times 10)\), we can follow these steps:

First rewrite the expression for clarity: \[ \frac{3 \times 10^4}{8 \times 10} \]
Now, simplify the denominator: \[ 8 \times 10 = 8 \times 10^1 \]
Substitute this back into the expression: \[ \frac{3 \times 10^4}{8 \times 10^1} \]
Simplify the fraction: \[ = \frac{3}{8} \times \frac{10^4}{10^1} \]
Use the laws of exponents to simplify \( \frac{10^4}{10^1} \): \[ \frac{10^4}{10^1} = 10^{4-1} = 10^3 \]
Now combine the results: \[ = \frac{3}{8} \times 10^3 \] \[ = \frac{3 \times 1000}{8} \] \[ = \frac{3000}{8} \]
Finally, divide: \[ 3000 ÷ 8 = 375 \]

Thus, the result of the original expression \(3 \times 10 \times 10 \times 10 \times 10 / (8 \times 10)\) is \(375\).