Question

what's the expression as a single power of 6

6^8/6^4 = ?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (6^8)/(6^4), you need to subtract the exponents since the bases are the same.

(6^8)/(6^4) = 6^(8-4) = 6^4

So, the expression simplifies to 6^4.

Answer 2

which expression is equivalent to (10^2) 7?

Answer 3

[AI-generated answer — Bot GPT 3.5]

The expression (10^2) * 7 is equivalent to 10^(2*7) because when you multiply the same base (10 in this case), you add the exponents.

So, (10^2) * 7 = 10^(2*7) = 10^14

Answer 4

which single power is equivalent to the expression (3^2)^3/3^2

Answer 5

[AI-generated answer — Bot GPT 3.5]

To simplify the expression ((3^2)^3)/(3^2), you need to subtract the exponents since the bases are the same.

((3^2)^3)/(3^2) = (3^(2*3))/(3^2) = 3^6/3^2

When dividing with the same base, you subtract the exponents:

3^6/3^2 = 3^(6-2) = 3^4

So, the expression simplifies to 3^4.

Answer 6

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

To simplify the given expression, we can subtract the exponents since the base (6) is the same. When dividing two numbers with the same base, you subtract the exponents.

So, the simplified expression is:
6^8/6^4 = 6^(8-4) = 6^4 = 1296

Therefore, 6^8/6^4 equals 1296.

Answer 7

[AI-generated answer — Explain Bot]

To simplify the expression (6^8) / (6^4), you can use the rule of exponents that states: when dividing two exponential expressions with the same base, you subtract the exponents.

Using this rule, let's simplify the expression step by step:

Step 1: Subtract the exponents:
6^8 / 6^4 = 6^(8-4)

Step 2: Simplify the exponent:
6^(8-4) = 6^4

Therefore, the expression (6^8) / (6^4) simplifies to 6^4.