Question

5^9 * 10^21 / 5^29 * 4^10 = ?

Answer 1

5⁹*10²¹/(5²⁹*4¹⁰)=5⁹*5²¹*2²¹/(5²⁹*2²*¹⁰)=5⁽⁹⁺²¹⁾*2²¹/(5²⁹*2²⁰)=5³⁰*2²¹/(5²⁹*2²⁰)=

=5⁽³⁰⁻²⁹⁾*2⁽²¹⁻²⁰⁾=5¹*2¹=10.

Answer 2

To simplify the expression:

(5^9 * 10^21) / (5^29 * 4^10)

You can use the properties of exponents to simplify this expression:

First, let's simplify the numerator (5^9 * 10^21):

5^9 * 10^21 = (5^9 * 5^21) * (2^21) = 5^(9 + 21) * 2^21 = 5^30 * 2^21

Now, let's simplify the denominator (5^29 * 4^10):

5^29 * 4^10 = 5^29 * (2^2)^10 = 5^29 * 2^20

Now that we've simplified both the numerator and the denominator, we can rewrite the expression:

(5^9 * 10^21) / (5^29 * 4^10) = (5^30 * 2^21) / (5^29 * 2^20)

Now, we can apply the rule of subtracting exponents when dividing like bases:

= 5^(30 - 29) * 2^(21 - 20) = 5^1 * 2^1 = 5 * 2 = 10

So, the simplified value of the expression is 10.