Question

^ find the numerical equivalent of 5^10 ⋅ 5^-6 the answer should not contain any exponent expression or decimals

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the numerical equivalent of 5^10 ⋅ 5^-6 without any exponents or decimals, we can use the properties of exponents.

First, recall that when raising a number to a negative exponent, it is equivalent to dividing 1 by that number raised to the positive exponent. In this case, 5^-6 is equivalent to 1 / 5^6.

Now, let's simplify the expression:

5^10 ⋅ 5^-6
= 5^(10 - 6) [Using the properties of exponents, add the exponents of the same base]
= 5^4 [10 - 6 = 4]

Since the answer cannot contain any exponents, we need to further simplify it:

5^4 = 5 × 5 × 5 × 5
= 625

Therefore, the numerical equivalent of 5^10 ⋅ 5^-6 without any exponent expression or decimals is 625.

Answer 2

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

To find the numerical equivalent of 5^10 ⋅ 5^-6 without any exponent expressions or decimals, we can simplify the expression using the properties of exponents.

First, recall that when multiplying two exponents with the same base, you can add their exponents. Therefore, we can rewrite the expression as:

5^10 ⋅ 5^-6 = 5^(10 + (-6))

Next, we can simplify the exponent inside the parentheses:

10 + (-6) = 4

So, the expression becomes:

5^10 ⋅ 5^-6 = 5^4

Finally, to find the numerical value, we calculate 5 raised to the power of 4:

5^4 = 5 × 5 × 5 × 5 = 625

Therefore, the numerical equivalent of 5^10 ⋅ 5^-6 is 625.

Answer 3

[AI-generated answer — Explain Bot]

To find the numerical equivalent of 5^10 ⋅ 5^-6 without using exponent expressions or decimals, you can use the property that says when you multiply two numbers with the same base, you add their exponents. Let's break it down step by step:

1. Start with 5^10 ⋅ 5^-6.
2. Using the property mentioned earlier, add the exponents: 10 + (-6) = 4.
3. So now we have 5^4.
4. To calculate this, simply multiply 5 four times: 5 × 5 × 5 × 5 = 625.

Therefore, the numerical equivalent of 5^10 ⋅ 5^-6 without any exponent expression or decimals is 625.

Answer 4

what is the missing exponent in the following question

s^500/s^? = s^175