To find the numerical equivalent of 7^2 ⋅ 7^3, we can simplify the expression by combining the exponents.
7^2 ⋅ 7^3 = 7^(2+3) = 7^5
Now we can calculate the value of 7^5. Using repeated multiplication:
7^5 = 7 * 7 * 7 * 7 * 7 = 16807
Therefore, the numerical equivalent of 7^2 ⋅ 7^3 is 16807.
Find the numerical equivalent of 7^2 ⋅ 7^3
3 answers
Find the numerical equivalent of 3^9 ⋅ 3^−5
To find the numerical equivalent of 3^9 ⋅ 3^(-5), we can rewrite it using the rules of exponents.
Using the rule a^m ⋅ a^n = a^(m+n), we can combine the exponents:
3^9 ⋅ 3^(-5) = 3^(9+(-5)) = 3^4
Now we can calculate the value of 3^4:
3^4 = 3 * 3 * 3 * 3 = 81
Therefore, the numerical equivalent of 3^9 ⋅ 3^(-5) is 81.
Using the rule a^m ⋅ a^n = a^(m+n), we can combine the exponents:
3^9 ⋅ 3^(-5) = 3^(9+(-5)) = 3^4
Now we can calculate the value of 3^4:
3^4 = 3 * 3 * 3 * 3 = 81
Therefore, the numerical equivalent of 3^9 ⋅ 3^(-5) is 81.
9 answers