Question

Use the Product Rule of Exponents to simplify 3^5⋅3^7
Answer
please show work
Answer
Find the numerical equivalent of

5^10 ⋅ 5^−6
Please show work
Answer
To simplify 3^5 ⋅ 3^7 using the product rule of exponents, we add the exponents:

3^5 ⋅ 3^7 = 3^(5+7)

Adding the exponents gives us can you show what to add

3^(5+7) = 3^12

Therefore, 3^5 ⋅ 3^7 simplifies to 3^12.

Answer
How to simply it 3^5 ⋅ 3^7 simplifies
Answer
Use the Product Rule of Exponents to simplify 3^5⋅3^7
Answer
please show me how to simplify
Answer
Find the numerical equivalent of

5^10 ⋅ 5^−6

Please show me step by step explantiomn
Answer
What is the missing exponent in the following equation?

s^500s/?= s175
Show step by step explanation Note: only type the exponent in the box, do not include any variables.
Answer
What is the missing number in this simplified exponential expression: 8^?÷8^4=8^15
?(
Answer
Apply the Zero Power Rule to create an equivalent expression to

(−40)^0 + 1/2(11−32^0)

(2 points)
(−40)^0 + 1/2(11−32^0) = ? + 1/2 (? - ?)

Answered by GPT 3.5
To use the product rule of exponents, we need to add the exponents when multiplying two numbers with the same base.

So, 3^5 ⋅ 3^7 can be simplified as 3^(5+7) = 3^12.

Therefore, 3^5 ⋅ 3^7 simplifies to 3^12.
Answered by GPT 3.5
To simplify 3^5 ⋅ 3^7 using the product rule of exponents, we add the exponents:

3^5 ⋅ 3^7 = 3^(5+7)

Adding the exponents gives us:

3^(5+7) = 3^12

Therefore, 3^5 ⋅ 3^7 simplifies to 3^12.
Answered by GPT 3.5
To find the numerical equivalent of 5^10 ⋅ 5^−6, we apply the product rule of exponents, which states that when multiplying two numbers with the same base, we add the exponents.

So, 5^10 ⋅ 5^−6 can be simplified as 5^(10 + (-6)) = 5^4.

Therefore, 5^10 ⋅ 5^−6 simplifies to 5^4.

To find the numerical equivalent, we evaluate 5^4:

5^4 = 5 * 5 * 5 * 5 = 625.

Therefore, the numerical equivalent of 5^10 ⋅ 5^−6 is 625.
Answered by GPT 3.5
Certainly, here's how we add the exponents step by step:

3^5 ⋅ 3^7 = 3^(5+7)

5 + 7 = 12

So, 3^5 ⋅ 3^7 simplifies to 3^12.
Answered by GPT 3.5
To simplify the expression 3^5 ⋅ 3^7, we can use the product rule of exponents which states that when multiplying two numbers with the same base, we add the exponents.

Here's how to simplify it step by step:

3^5 ⋅ 3^7

= (3 × 3 × 3 × 3 × 3) ⋅ (3 × 3 × 3 × 3 × 3 × 3 × 3)

= 3^(5+7)

= 3^12

Therefore, 3^5 ⋅ 3^7 simplifies to 3^12.
Answered by GPT 3.5
To simplify 3^5 ⋅ 3^7 using the product rule of exponents, we add the exponents together:

3^5 ⋅ 3^7 = 3^(5+7) = 3^12

Therefore, 3^5 ⋅ 3^7 simplifies to 3^12.
Answered by GPT 3.5
Of course, here is a step-by-step explanation of how to simplify 3^5 ⋅ 3^7 using the product rule of exponents:

Step 1: Write out the expression using the product rule.
3^5 ⋅ 3^7

Step 2: Add the exponents together.
5 + 7 = 12

Step 3: Rewrite the simplified expression.
3^12

Therefore, 3^5 ⋅ 3^7 simplifies to 3^12.
Answered by GPT 3.5
To find the numerical equivalent of 5^10 ⋅ 5^−6, we can simplify the expression using the product rule of exponents, which states that when multiplying two numbers with the same base, we add the exponents.

Here is a step-by-step explanation:

Step 1: Write out the expression using the product rule.
5^10 ⋅ 5^−6

Step 2: Add the exponents together.
10 + (-6) = 4

Step 3: Rewrite the simplified expression.
5^4

Step 4: Evaluate 5^4 to find the numerical equivalent.
5^4 = 5 × 5 × 5 × 5 = 625

Therefore, the numerical equivalent of 5^10 ⋅ 5^−6 is 625.
Answered by GPT 3.5
To find the missing exponent, we can use the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.

Here's how to find the missing exponent step by step:

Step 1: Write out the given equation.
s^500 / s^? = s^175

Step 2: Apply the quotient rule of exponents. Since we want to find the missing exponent, we can subtract the known exponent from the numerator exponent:
500 - ? = 175

Step 3: Simplify the equation. Subtract ? from both sides:
500 - ? = 175

Step 4: Solve for the missing exponent. Subtract 500 from both sides:
-? = 175 - 500
-? = -325

Step 5: Rewrite the equation with the solved missing exponent:
s^325 / s^500 = s^175

Therefore, the missing exponent in the original equation s^500s/?= s^175 is 325.
Answered by GPT 3.5
To find the missing number in the simplified exponential expression, we can use the quotient rule of exponents, which states that when dividing two numbers with the same base, we subtract the exponents.

Here's how to find the missing number step by step:

Step 1: Write out the simplified equation.
8^? ÷ 8^4 = 8^15

Step 2: Apply the quotient rule of exponents. Since we want to find the missing number, we can subtract the known exponent from the numerator exponent.
? - 4 = 15

Step 3: Simplify the equation. Add 4 to both sides.
? = 15 + 4

Step 4: Solve for the missing number.
? = 19

Therefore, the missing number in the simplified exponential expression is 19.
Answered by GPT 3.5
The Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1. Therefore, when applying the Zero Power Rule to the expression:

(−40)^0 + 1/2(11−32^0)

we can simplify it as:

1 + 1/2(11 - 1)

Since any number multiplied by 1 is equal to the number itself, the expression further simplifies to:

1 + 1/2(10)

Now, we can evaluate the remaining arithmetic:

1 + 1/2 * 10 = 1 + 5 = 6

Therefore, (−40)^0 + 1/2(11−32^0) simplifies to 6.