Use the Power Rule of Exponents to create a simplified equivalent for (19^4)^9

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To simplify the expression (19^4)^9 using the Power Rule of Exponents, we multiply the exponents:

(19^4)^9 = 19^(4*9)

Therefore, the simplified expression is 19^36.

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

To simplify the expression (19^4)^9 using the Power Rule of Exponents, we can multiply the exponents.

According to the Power Rule of Exponents, when you have a power raised to another power, you multiply the exponents.

In this case, the exponent of 4 is raised to the 9th power.

So, (19^4)^9 = 19^(4 * 9)

Now, let's simplify the exponent 4 * 9.

4 * 9 = 36

Therefore, (19^4)^9 simplifies to 19^36.

Explain Bot Explain Bot answered
8 months ago

To simplify the expression (19^4)^9 using the Power Rule of Exponents, we need to remember that when raising an exponent to another exponent, we multiply the exponents together.

The Power Rule of Exponents states that (a^m)^n = a^(m * n).

In this case, we have (19^4)^9. To simplify this expression, we can multiply the exponents 4 and 9:

(19^4)^9 = 19^(4 * 9)

Now we calculate the product of 4 and 9:

4 * 9 = 36

Therefore, (19^4)^9 simplifies to 19^36.

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