Find the numerical equivalent of 5 ^ 10 * 5 ^ -6
To find the numerical equivalent of the expression 5^10 * 5^-6, we can simplify it using the rule of exponents.
When multiplying two exponents with the same base, you add the exponents. Therefore, 5^10 * 5^-6 can be simplified as 5^(10 + -6).
10 + -6 equals 4, so the expression is then equal to 5^4.
Finally, 5^4 is equal to 5 * 5 * 5 * 5 = 625.
Therefore, the numerical equivalent of 5^10 * 5^-6 is 625.
To find the numerical equivalent of 5^10 * 5^-6, we can simplify the expression using the rules of exponents.
First, let's simplify 5^10. Since 5 raised to the power of 10 means 5 multiplied by itself 10 times, we have:
5^10 = 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 9,765,625
Next, let's simplify 5^-6. In this case, because 5 raised to the power of -6 means the reciprocal of 5 raised to the power of 6, we have:
5^-6 = 1 / (5^6)
To simplify 5^6, we multiply 5 by itself 6 times:
5^6 = 5 * 5 * 5 * 5 * 5 * 5 = 15,625
Now, we can find the reciprocal of 15,625:
1 / 15,625 = 0.000064
Finally, let's multiply the two simplified expressions together:
9,765,625 * 0.000064 = 625
Therefore, the numerical equivalent of 5^10 * 5^-6 is 625.
To find the numerical equivalent of the expression 5 ^ 10 * 5 ^ -6, we can simplify it by using the exponent rules for multiplication.
The rule states that when you multiply two exponents with the same base, you should add their exponents.
So, in this case, we have 5 ^ 10 * 5 ^ -6. Since the base is the same (which is 5), we can add the exponents together.
10 + (-6) = 4
Therefore, the expression simplifies to 5 ^ 4.
To calculate 5 ^ 4, we multiply 5 by itself four times:
5 ^ 4 = 5 * 5 * 5 * 5 = 625
So, the numerical equivalent of 5 ^ 10 * 5 ^ -6 is 625.