simplify (3^2)^5

{ "query": { "display": "simplify $$\\left(3^{2}\\right)^{5}$$", "symbolab_question": "SIMPLIFY#simplify (3^{2})^{5}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "59049", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(3^{2}\\right)^{5}=59049$$", "input": "\\left(3^{2}\\right)^{5}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$\\left(a^{b}\\right)^{c}=a^{bc},\\:\\quad\\:a\\ge0$$", "result": "=3^{2\\cdot\\:5}" }, { "type": "step", "primary": "Multiply the numbers: $$2\\cdot\\:5=10$$", "result": "=3^{10}" }, { "type": "step", "primary": "$$3^{10}=59049$$", "result": "=59049" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }