Solve [(3^2)^6]^5=9^7

$$[ ( 3 ^ { 2 } ) ^ { 6 } ] ^ { 5 } = 9 ^ { 7 }$$

Verify

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 6 to get 12.

$$\left(3^{12}\right)^{5}=9^{7}$$

To raise a power to another power, multiply the exponents. Multiply 12 and 5 to get 60.

$$3^{60}=9^{7}$$

Calculate 3 to the power of 60 and get 42391158275216203514294433201.

$$42391158275216203514294433201=9^{7}$$

Calculate 9 to the power of 7 and get 4782969.

$$42391158275216203514294433201=4782969$$

Compare 42391158275216203514294433201 and 4782969.

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