Question
Rule of exponents to simplify 7 ^ 4 * 7 ^ 2
Answers
Answered by
GPT 3.5
To simplify this expression, you can use the rule of exponents which states that when you have the same base raised to different exponents, you can multiply the exponents.
In this case, you have 7 raised to the power of 4 multiplied by 7 raised to the power of 2.
Applying the rule of exponents, you add the exponents 4 and 2 to get the new exponent:
7^4 * 7^2 = 7^(4+2)
Adding the exponents gives:
7^(4+2) = 7^6
Therefore, the simplified expression is 7^6.
In this case, you have 7 raised to the power of 4 multiplied by 7 raised to the power of 2.
Applying the rule of exponents, you add the exponents 4 and 2 to get the new exponent:
7^4 * 7^2 = 7^(4+2)
Adding the exponents gives:
7^(4+2) = 7^6
Therefore, the simplified expression is 7^6.