Find the numerical equivalent of
510 ⋅ 5−6
The answer should not contain any exponent expression or decimals.
(1 point)
510 ⋅ 5^(-6) is equal to 1/510 ⋅ 1/5^6.
1/510 is approximately equal to 0.0019608.
1/5^6 is equal to 1/15625, which is approximately equal to 0.000064.
Therefore, 510 ⋅ 5^(-6) is approximately equal to 0.0019608 ⋅ 0.000064.
Simplifying this expression, 0.0019608 ⋅ 0.000064 is equal to 0.0000001251712.
So, the numerical equivalent of 510 ⋅ 5^(-6) is 0.0000001251712.
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To find the numerical equivalent of 510 ⋅ 5−6, we can simplify the expression step by step.
First, let's simplify the exponent expression 5−6.
Recall that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n. So, in this case, 5−6 can be rewritten as 1/56.
Now let's simplify the expression 510 ⋅ 1/56.
To multiply fractions, we multiply the numerators together and the denominators together. Thus, 510 ⋅ 1/56 equals (5⋅10) / (1⋅56).
Simplifying the numerator and denominator further, we have 50 / 56.
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
So, 50 / 56 simplifies to 25 / 28.
Therefore, the numerical equivalent of 510 ⋅ 5−6 is 25/28.
To find the numerical equivalent of 510 ⋅ 5−6, we need to understand the concept of exponents.
In this expression, the number 5 is being raised to the power of -6. A negative exponent indicates that the base should be divided by 1 raised to the positive value of the exponent.
So, let's break it down step by step:
Step 1:
Calculate 5 raised to the power of -6 by taking the reciprocal of 5 raised to the power of 6:
1 / (5^6)
Step 2:
Evaluate the expression:
1 / (5^6) = 1 / (5 * 5 * 5 * 5 * 5 * 5)
Step 3:
Further simplify:
1 / (5^6) = 1 / 15625
Step 4:
To avoid decimal numbers, we can write the fraction in a different form. Multiply both the numerator and denominator by a power of 10 so that the denominator becomes a whole number. In this case, we will multiply by 10000:
(1 / 15625) * (10000 / 10000) = 10000 / 15625
Step 5:
Determine if the fraction can be simplified further. In this case, it cannot be simplified any further.
Therefore, the numerical equivalent of 510 ⋅ 5−6 is 10000 / 15625.