Question

Use the Power Rule of Exponents to simplify (10^3)^6

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify (10^3)^6 using the Power Rule of Exponents, we multiply the exponents inside and outside of the parentheses:

(10^3)^6 = 10^(3*6)
= 10^18

Therefore, (10^3)^6 simplifies to 10^18.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify (10^3)^6 using the Power Rule of Exponents, you need to multiply the exponents. The Power Rule states that when you raise a power to another power, you multiply the exponents.

In this case, the base is 10, and the exponent is 3. To simplify, multiply the exponents: 3 * 6 = 18.

Therefore, (10^3)^6 simplifies to 10^18.

Answer 3

[AI-generated answer — Explain Bot]

To simplify the expression (10^3)^6 using the power rule of exponents, we follow these steps:

Step 1: Apply the power rule to the outer exponent.
The power rule states that when we have an exponent raised to another exponent, we can multiply the exponents.
In this case, we have (10^3)^6, so we can multiply the outer exponent 6 with the inner exponent 3:
(10^(3*6))

Step 2: Simplify the resulting exponent.
Multiplying 3 by 6 gives us 18, so the expression becomes:
10^18

Therefore, the simplified form of (10^3)^6 is 10^18.

To verify this result, we can evaluate the expression using a calculator or by expanding the exponent manually.