Complete the following table using rule of exponent.

QUESTION 3

3.1 Complete the following table using rule of exponent.

Here is the completed table:

Product of powers	Power of power notation	Exponential form
$2^4 \times 2^4 \times 2^4$	$(2^4)^3$	$2^{12}$
$2^6 \times 2^6 \times 2^6$	$(2^6)^3$	$2^{18}$
$x^7 \times x^7 \times x^7 \times x^7 \times x^7$	$(x^7)^5$	$x^{35}$
$r^c \times r^c \times r^c \times r^c \times r^c$	$(r^c)^5$	$r^{5c}$

Calculations for Question 3:

Row 1:

• Product of powers: $2^4 \times 2^4 \times 2^4$
• Power of power notation: $(2^4)^3$ (since $2^4$ is multiplied by itself 3 times)
• Exponential form: $(2^4)^3 = 2^{4 \times 3} = 2^{12}$

Row 2:

• Product of powers: $2^6 \times 2^6 \times 2^6$
• Power of power notation: $(2^6)^3$ (since $2^6$ is multiplied by itself 3 times)
• Exponential form: $(2^6)^3 = 2^{6 \times 3} = 2^{18}$

Row 3:

• Power of power notation: $(x^7)^5$
• Product of powers: $x^7 \times x^7 \times x^7 \times x^7 \times x^7$ (since $x^7$ is raised to the power of 5)
• Exponential form: $(x^7)^5 = x^{7 \times 5} = x^{35}$

Row 4:

• Product of powers: $r^c \times r^c \times r^c \times r^c \times r^c$ (assuming 5 terms based on the pattern)
• Power of power notation: $(r^c)^5$ (since $r^c$ is multiplied by itself 5 times)
• Exponential form: $(r^c)^5 = r^{c \times 5} = r^{5c}$