To simplify 6^10 x 6^5, we can use the Product Rule of Exponents, which states that when multiplying two exponential expressions with the same base, you keep the base and add the exponents.
Therefore, 6^10 x 6^5 can be simplified to 6^(10+5) = 6^15.
To find the numerical equivalent of 8^9 x 8^-6, we can again apply the Product Rule of Exponents. Since 8^-6 can be written as 1/8^6, we have:
8^9 x 8^-6 = 8^9 x (1/8^6) = 8^(9-6) = 8^3.
Therefore, the numerical equivalent of 8^9 x 8^-6 is 8^3.
To find the value of x in the exponential equation 5^x ÷ 5^5 = 5^12, we can use the Quotient Rule of Exponents, which states that when dividing exponential expressions with the same base, you keep the base and subtract the exponents.
Therefore, 5^x ÷ 5^5 can be simplified to 5^(x-5) = 5^12.
To solve for x, we can equate the exponents:
x - 5 = 12.
Adding 5 to both sides, we get:
x = 17.
Therefore, the value of x that makes the equation true is x = 17.
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
1 answer
1 answer