Question

(5^3*5^4)/(5*5^7)^6 найдите значение выраженгия

Answer 1

5^7/(5*5^7)^6 =5^7/5^48=5^-41= 1/5^41

Answer 2

To simplify the expression, let's apply the rules of exponents step by step:

Step 1: Combine the exponents of like bases (in this case, the base is 5).

5^3 * 5^4 = 5^(3+4) = 5^7

Step 2: Simplify the denominator using the same rules.

5 * 5^7 = 5^(1+7) = 5^8

Step 3: Now the expression becomes:

(5^7 * 5^7) / 5^48

Step 4: Combine the exponents again:

5^7 * 5^7 = 5^(7+7) = 5^14

Step 5: Simplify the expression:

5^14 / 5^48

Step 6: When you divide two terms with the same base, subtract the exponents:

5^(14-48) = 5^(-34)

So, the final simplified value of the expression is 5^(-34) or 1/5^34.