Question

What is 5^7 × 5^8 (1 point) Responses 52 5 squared 556 5 to the 56th power 515 5 to the 15th power 25 25 Question 2 What is 8^5 /8^2 (1 point) Responses 87 8 to the 7th power 64 64 810 8 to the 10th power 83 8 cubed Question 3 What is 6^9 ÷ 6^2 (1 point) Responses 67 6 to the 7th power 42 42 618 6 to the 18th power 36 36 Question 4 What is 10^6 x 10^3 (1 point) Responses 1018 10 to the 18th power 103 10 cubed 102 10 squared 109 10 to the 9th power Question 5 What is a^2 x a^3 (2 points) Responses a5 A to the 5th power a a a6 A to the 6th power a1 A to the 1th power Question 6 What is b^9/b^3 (2 points) Responses b3 b cubed b12 b to the 12th power b6 b to the 6th power b b Question 7 What is (b^2)^3 (2 points) Responses b5 b to the 5th power b b b6 b to the 6th power b1 b to the 1th power Question 8 What is (5^8)^2 (2 points) Responses b10 b to the 10th power b16 b to the 16th power b6 b to the 6th power b4 b to the 4th power Question 9 What is 9^0 (2 points) Responses 1 1 0 0 9 9 Skip to navigation

Answer 1

Here are the answers to each of the questions provided:

Question 1: What is \( 5^7 \times 5^8 \)?

• Using the property of exponents \( a^m \times a^n = a^{m+n} \), we find that \( 5^7 \times 5^8 = 5^{7+8} = 5^{15} \).
• Answer: 5 to the 15th power

Question 2: What is \( 8^5 / 8^2 \)?

• Using the property \( \frac{a^m}{a^n} = a^{m-n} \), we have \( 8^5 / 8^2 = 8^{5-2} = 8^3 \).
• Answer: 8 cubed

Question 3: What is \( 6^9 \div 6^2 \)?

• Using the property \( \frac{a^m}{a^n} = a^{m-n} \), we find \( 6^9 \div 6^2 = 6^{9-2} = 6^7 \).
• Answer: 6 to the 7th power

Question 4: What is \( 10^6 \times 10^3 \)?

• Using the property \( a^m \times a^n = a^{m+n} \), we have \( 10^6 \times 10^3 = 10^{6+3} = 10^9 \).
• Answer: 10 to the 9th power

Question 5: What is \( a^2 \times a^3 \)?

• Using the property \( a^m \times a^n = a^{m+n} \), we find \( a^2 \times a^3 = a^{2+3} = a^5 \).
• Answer: a to the 5th power

Question 6: What is \( b^9 / b^3 \)?

• Using the property \( \frac{a^m}{a^n} = a^{m-n} \), we have \( b^9 / b^3 = b^{9-3} = b^6 \).
• Answer: b to the 6th power

Question 7: What is \( (b^2)^3 \)?

• Using the property \( (a^m)^n = a^{m \times n} \), we find \( (b^2)^3 = b^{2 \times 3} = b^6 \).
• Answer: b to the 6th power

Question 8: What is \( (5^8)^2 \)?

• Using the property \( (a^m)^n = a^{m \times n} \), we have \( (5^8)^2 = 5^{8 \times 2} = 5^{16} \).
• Answer: 5 to the 16th power

Question 9: What is \( 9^0 \)?

• Any non-zero number raised to the power of 0 is equal to 1.
• Answer: 1

If you have any more questions or need further clarification, feel free to ask!