الأعداد والجبر: القانون الثالث للأسس

The video tutorial explains the third law of exponents, which states that when an exponential expression is raised to another exponent, the exponents are multiplied while the base remains unchanged. The tutorial provides a step-by-step example to illustrate this concept, demonstrating how to solve an expression like 15^7 raised to the power of 4 by multiplying the exponents to get 15^28.

What does the third law of exponents state about raising a power to another power?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

In the expression (x^m)^n, what remains unchanged according to the third law of exponents?

• The result

• The base

• The first exponent

• The second exponent

What is the first step in applying the third law of exponents to solve (15^7)^4?

• Multiply 7 and 4

• Add 7 and 4

• Divide 7 by 4

• Subtract 4 from 7

What is the result of (15^7)^4 using the third law of exponents?

• 15^3

• 15^11

• 15^28

• 15^21

How do you find the final exponent in the expression (a^b)^c?

• Subtract c from b

• Divide b by c

• Multiply b and c

• Add b and c