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Step-4

Title: Find the variable value

Grade: 7-b Lesson: S3-L10

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Steps	Problem	Solution
1	Find the value of '\$x\$'	\$ 9^(x + 10) = (1/9)^((2(2/3))) \$
2	Applying identity '\$ 1/a^m = a^(-m) \$'	\$ 9^(x + 10) = 9^-((2(2/3))) \$ \$ 9^(x + 10) = 9^(-4/3) \$
3	If Bases are equal powers also equal	\$ x + 10 = -4/3 \$
4	Move constants to the right side	\$ x = -4/3 - 10 \$
5	Taking LCM as '\$3\$'	\$ x = (-4 - 30)/3 \$ \$ x = -34/3 \$
6	Answer	A = \$ x = -34/3 \$

Steps

Problem

Solution

Find the value of '\$x\$'

\$ 9^(x + 10) = (1/9)^((2(2/3))) \$

Applying identity '\$ 1/a^m = a^(-m) \$'

\$ 9^(x + 10) = 9^-((2(2/3))) \$

\$ 9^(x + 10) = 9^(-4/3) \$

If Bases are equal powers also equal

\$ x + 10 = -4/3 \$

Move constants to the right side

\$ x = -4/3 - 10 \$

Taking LCM as '\$3\$'

\$ x = (-4 - 30)/3 \$

\$ x = -34/3 \$

Answer

A = \$ x = -34/3 \$