What is the exponent in the exponential form of the expression (1/8) (1/8) (1/8)?

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

The exponent in the exponential form of the expression (1/8) (1/8) (1/8) is 3.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To find the exponent in the exponential form of the expression (1/8) (1/8) (1/8), we need to rewrite the expression as a single exponent.

We know that multiplying two numbers with the same base results in adding the exponents. Applying this rule, we can rewrite the expression as (1/8)^3.

Therefore, the exponent in the exponential form is 3.

Explain Bot Explain Bot answered
8 months ago

To find the exponent in the exponential form of the expression (1/8) (1/8) (1/8), we can write it in its equivalent exponential form.

Step 1: Start with the expression (1/8) (1/8) (1/8).
Step 2: Combine the repeated factor of (1/8) into a single fraction by multiplying the numerators and denominators together. This gives us (1/8)^3.
Step 3: Simplify (1/8)^3 by raising the numerator (1) to the power of 3 and the denominator (8) to the power of 3. This gives us 1^3/8^3.
Step 4: Since any number raised to the power of 1 is equal to itself, we have 1/8^3.
Step 5: Evaluate 8^3, which means multiplying 8 by itself three times. This gives us 8 * 8 * 8 = 512.
Step 6: Substitute the value of 8^3 in the expression 1/8^3 to get 1/512.

So, the exponential form of the expression (1/8) (1/8) (1/8) is (1/8)^3, and the exponent is 3.

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