1. Using the Product Rule of Exponents, we can simplify 6^10 x 6^5 as 6^(10+5), which is equal to 6^15.
2. The numerical equivalent of 8^9 x 8^-6 can be found by applying the Quotient Rule of Exponents. We subtract the exponents to get 8^(9-6), which simplifies to 8^3. Therefore, the numerical equivalent is 512.
3. To find the value of x in the exponential equation 5^x ÷ 5^5 = 5^12, we can apply the Quotient Rule of Exponents. By subtracting the exponents, we have 5^(x-5) = 5^12. Since the bases are the same, x-5 must equal 12. Solving for x gives x = 17.
4. Using the Power Rule of Exponents, we can simplify (9^3)^6 as 9^(3*6), which simplifies to 9^18.
5. Applying the Properties of Integer Exponents, we can simplify (6^-3)^7 x 6^20 as 6^(-3*7) x 6^20. This simplifies to 6^(-21) x 6^20. Using the Product Rule of Exponents, we can add the exponents to get 6^(-21+20), which is equal to 6^(-1).
6. In improper fraction form, 6^-2 can be rewritten as 1/6^2 or 1/36.
Use the Product Rule of Exponents to simplify
Use the Product Rule of Exponents to simplify 6^10 x 6^5 (put answer in exponent form)
Find the numerical equivalent of 8^9 x 8^-6
Find the value of x to make this exponential equation true…
5^x ÷ 5^5 = 5^12
Use the Power Rule of Exponents to simplify (9^3)^6 . Answer in exponent form.
Apply the Properties of Integer Exponents to generate equivalent expressions to
(6^-3)^7 x 6^20
━━━━━━━━ answer as improper fraction. (this is a fraction problem..numerator above the line and denominator below it)
6^-2
1 answer