Final answer:
The equivalent expression to 7· (1+0.09)²ʳ is 7· (1.1881)ʳ, which matches option b.
Step-by-step explanation:
The student has asked to find an equivalent expression to 7· (1+0.09)²ʳ. To find the equivalent expression, we must calculate (1+0.09)² and then compare the resulting expression to the options provided. First, we calculate 1+0.09 which gives us 1.09. Next, we square this value to find (1.09)². This calculation gives us (1.09)² = 1.1881. Therefore, the expression 7· (1+0.09)²ʳ can be simplified to 7· (1.1881)ʳ, which corresponds to option b. So, the correct equivalent expression is 7· (1.1881)ʳ.