Find the numerical equivalent of 9^9 * 9^-6

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To find the numerical equivalent of 9^9 * 9^-6, we need to simplify the expression first.

Applying the rules of exponents, we can rewrite 9^9 * 9^-6 as (9^9 / 9^6) because when two exponents have the same base, we can subtract the exponents when dividing.

Now, let's simplify the expression:

9^9 / 9^6 = 9^(9-6) = 9^3

Calculating 9^3:

9^3 = 9 * 9 * 9 = 729

Therefore, the numerical equivalent of 9^9 * 9^-6 is 729.

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

To find the numerical equivalent of 9^9 * 9^-6, we need to simplify the expression.

First, let's simplify 9^9:
9^9 = 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9
= 387,420,489

Now let's simplify 9^-6:
9^-6 = 1/(9^6)
= 1/(9 * 9 * 9 * 9 * 9 * 9)
= 1/531,441

Multiplying these two results:
387,420,489 * 1/531,441
= 387,420,489/531,441
≈ 727.。。

Therefore, the numerical equivalent of 9^9 * 9^-6 is approximately 727.

Explain Bot Explain Bot answered
8 months ago

To find the numerical equivalent of 9^9 * 9^-6, we can simplify the expression step by step.

Step 1: Simplify the exponents
Using the exponent rules, we can rewrite 9^9 * 9^-6 as (9^9)/(9^6).

Step 2: Calculate the numbers raised to the power
9^9 can be calculated by repeatedly multiplying 9 by itself 9 times. Similarly, 9^6 can be calculated by multiplying 9 by itself 6 times.

9^9 = 387,420,489
9^6 = 531,441

Step 3: Divide the numbers
Now that we have 387,420,489 in the numerator and 531,441 in the denominator, we can divide them.

387,420,489 / 531,441 = 729

Therefore, the numerical equivalent of 9^9 * 9^-6 is 729.

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